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151145100 = 223252295791
BaseRepresentation
bin10010000001001…
…00101010001100
3101112101222002200
421000210222030
5302143120400
622555321500
73513466161
oct1100445214
9345358080
10151145100
1178354607
1242750290
1325410192
1416106068
15d408b00
hex9024a8c

151145100 has 108 divisors (see below), whose sum is σ = 490176960. Its totient is φ = 38908800.

The previous prime is 151145087. The next prime is 151145107. The reversal of 151145100 is 1541151.

It is a happy number.

151145100 is a `hidden beast` number, since 151 + 1 + 4 + 510 + 0 = 666.

151145100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (151145107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23205 + ... + 28995.

Almost surely, 2151145100 is an apocalyptic number.

151145100 is a gapful number since it is divisible by the number (10) 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 151145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245088480).

151145100 is an abundant number, since it is smaller than the sum of its proper divisors (339031860).

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

151145100 is a wasteful number, since it uses less digits than its factorization.

151145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151145100 is about 12294.1083450570. The cubic root of 151145100 is about 532.6779144970.

Adding to 151145100 its reverse (1541151), we get a palindrome (152686251).

The spelling of 151145100 in words is "one hundred fifty-one million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 5791 6525 8700 11582 13050 17373 23164 26100 28955 34746 52119 57910 69492 86865 104238 115820 144775 167939 173730 208476 260595 289550 335878 347460 434325 503817 521190 579100 671756 839695 868650 1007634 1042380 1302975 1511451 1679390 1737300 2015268 2519085 2605950 3022902 3358780 4198475 5038170 5211900 6045804 7557255 8396950 10076340 12595425 15114510 16793900 25190850 30229020 37786275 50381700 75572550 151145100