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152135424 = 283279433
BaseRepresentation
bin10010001000101…
…10011100000000
3101121021021120100
421010112130000
5302421313144
623032442400
73525062340
oct1104263400
9347237510
10152135424
1178970661
1242b49400
1325698b7c
14162c2d20
15d552269
hex9116700

152135424 has 108 divisors (see below), whose sum is σ = 501360496. Its totient is φ = 43462656.

The previous prime is 152135411. The next prime is 152135437. The reversal of 152135424 is 424531251.

It is an interprime number because it is at equal distance from previous prime (152135411) and next prime (152135437).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11412 + ... + 20844.

Almost surely, 2152135424 is an apocalyptic number.

152135424 is a gapful number since it is divisible by the number (14) 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 152135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250680248).

152135424 is an abundant number, since it is smaller than the sum of its proper divisors (349225072).

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

152135424 is an equidigital number, since it uses as much as digits as its factorization.

152135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9445 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 152135424 is about 12334.3189516082. The cubic root of 152135424 is about 533.8387763929.

Adding to 152135424 its reverse (424531251), we get a palindrome (576666675).

The spelling of 152135424 in words is "one hundred fifty-two million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 9433 16128 18866 28299 37732 56598 66031 75464 84897 113196 132062 150928 169794 198093 226392 264124 301856 339588 396186 452784 528248 594279 603712 679176 792372 905568 1056496 1188558 1207424 1358352 1584744 1811136 2112992 2377116 2414848 2716704 3169488 3622272 4225984 4754232 5433408 6338976 7244544 8451968 9508464 10866816 12677952 16903936 19016928 21733632 25355904 38033856 50711808 76067712 152135424