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145402128 = 2434151743
BaseRepresentation
bin10001010101010…
…10100100010000
3101010121012020000
420222222210100
5244210332003
622232250000
73413616624
oct1052524420
9333535200
10145402128
1175091853
1240840900
132417c181
141544d184
15cb721a3
hex8aaa910

145402128 has 100 divisors (see below), whose sum is σ = 424193088. Its totient is φ = 48081600.

The previous prime is 145402123. The next prime is 145402133. The reversal of 145402128 is 821204541.

It is an interprime number because it is at equal distance from previous prime (145402123) and next prime (145402133).

It is a super-2 number, since 2×1454021282 = 42283557653856768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145402123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195325 + ... + 196067.

Almost surely, 2145402128 is an apocalyptic number.

145402128 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 145402128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212096544).

145402128 is an abundant number, since it is smaller than the sum of its proper divisors (278790960).

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

145402128 is a wasteful number, since it uses less digits than its factorization.

145402128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145402128 is about 12058.2804744292. The cubic root of 145402128 is about 525.8439975524.

Adding to 145402128 its reverse (821204541), we get a palindrome (966606669).

It can be divided in two parts, 145402 and 128, that added together give a triangular number (145530 = T539).

The spelling of 145402128 in words is "one hundred forty-five million, four hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 151 162 216 302 324 432 453 604 648 743 906 1208 1296 1359 1486 1812 2229 2416 2718 2972 3624 4077 4458 5436 5944 6687 7248 8154 8916 10872 11888 12231 13374 16308 17832 20061 21744 24462 26748 32616 35664 40122 48924 53496 60183 65232 80244 97848 106992 112193 120366 160488 195696 224386 240732 320976 336579 448772 481464 673158 897544 962928 1009737 1346316 1795088 2019474 2692632 3029211 4038948 5385264 6058422 8077896 9087633 12116844 16155792 18175266 24233688 36350532 48467376 72701064 145402128