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145371888 = 24331989199
BaseRepresentation
bin10001010101000…
…11001011110000
3101010112122202000
420222203023300
5244203400023
622231454000
73413432514
oct1052431360
9333478660
10145371888
1175071062
1240827300
132416b48c
1415442144
15cb68243
hex8aa32f0

145371888 has 160 divisors (see below), whose sum is σ = 446400000. Its totient is φ = 45163008.

The previous prime is 145371881. The next prime is 145371931. The reversal of 145371888 is 888173541.

It is a happy number.

It is a super-2 number, since 2×1453718882 = 42265971641369088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145371881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730413 + ... + 730611.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2145371888 is an apocalyptic number.

145371888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145371888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200000).

145371888 is an abundant number, since it is smaller than the sum of its proper divisors (301028112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145371888 is a wasteful number, since it uses less digits than its factorization.

145371888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 145371888 is about 12057.0264991000. The cubic root of 145371888 is about 525.8075408989.

The spelling of 145371888 in words is "one hundred forty-five million, three hundred seventy-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 89 108 114 144 152 171 178 199 216 228 267 304 342 356 398 432 456 513 534 597 684 712 796 801 912 1026 1068 1194 1368 1424 1592 1602 1691 1791 2052 2136 2388 2403 2736 3184 3204 3382 3582 3781 4104 4272 4776 4806 5073 5373 6408 6764 7164 7562 8208 9552 9612 10146 10746 11343 12816 13528 14328 15124 15219 17711 19224 20292 21492 22686 27056 28656 30248 30438 34029 35422 38448 40584 42984 45372 45657 53133 60496 60876 68058 70844 81168 85968 90744 91314 102087 106266 121752 136116 141688 159399 181488 182628 204174 212532 243504 272232 283376 318798 336509 365256 408348 425064 478197 544464 637596 673018 730512 816696 850128 956394 1009527 1275192 1346036 1633392 1912788 2019054 2550384 2692072 3028581 3825576 4038108 5384144 6057162 7651152 8076216 9085743 12114324 16152432 18171486 24228648 36342972 48457296 72685944 145371888