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157135024 = 24611311229
BaseRepresentation
bin10010101110110…
…11000010110000
3101221200021201201
421113123002300
5310211310044
623331540544
73615424414
oct1127330260
9357607651
10157135024
1180775962
124475a754
1326729707
1416c24d44
15dbdd7d4
hex95db0b0

157135024 has 40 divisors (see below), whose sum is σ = 312055920. Its totient is φ = 76627200.

The previous prime is 157134973. The next prime is 157135031. The reversal of 157135024 is 420531751.

It is a happy number.

157135024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157134983 and 157135001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127242 + ... + 128470.

It is an arithmetic number, because the mean of its divisors is an integer number (7801398).

Almost surely, 2157135024 is an apocalyptic number.

It is an amenable number.

157135024 is a deficient number, since it is larger than the sum of its proper divisors (154920896).

157135024 is a wasteful number, since it uses less digits than its factorization.

157135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 157135024 is about 12535.3509723502. The cubic root of 157135024 is about 539.6236792790.

Adding to 157135024 its reverse (420531751), we get a palindrome (577666775).

The spelling of 157135024 in words is "one hundred fifty-seven million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 61 122 131 244 262 488 524 976 1048 1229 2096 2458 4916 7991 9832 15982 19664 31964 63928 74969 127856 149938 160999 299876 321998 599752 643996 1199504 1287992 2575984 9820939 19641878 39283756 78567512 157135024