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157132526538 = 231361973071109
BaseRepresentation
bin1001001001010111010…
…1000001001111001010
3120000120211120101220010
42102111311001033022
510033301411322123
6200104035212350
714231614303161
oct2222565011712
9500524511803
10157132526538
116070423a989
12265534470b6
1311a82176b70
147868b683d8
154149d75993
hex2495d413ca

157132526538 has 128 divisors (see below), whose sum is σ = 348980163840. Its totient is φ = 46869995520.

The previous prime is 157132526533. The next prime is 157132526561. The reversal of 157132526538 is 835625231751.

It is not an unprimeable number, because it can be changed into a prime (157132526533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141687928 + ... + 141689036.

It is an arithmetic number, because the mean of its divisors is an integer number (2726407530).

Almost surely, 2157132526538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157132526538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174490081920).

157132526538 is an abundant number, since it is smaller than the sum of its proper divisors (191847637302).

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

157132526538 is a wasteful number, since it uses less digits than its factorization.

157132526538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592.

The product of its digits is 1512000, while the sum is 48.

The spelling of 157132526538 in words is "one hundred fifty-seven billion, one hundred thirty-two million, five hundred twenty-six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 61 78 97 122 183 194 291 307 366 582 614 793 921 1109 1261 1586 1842 2218 2379 2522 3327 3783 3991 4758 5917 6654 7566 7982 11834 11973 14417 17751 18727 23946 28834 29779 35502 37454 43251 56181 59558 67649 76921 86502 89337 107573 112362 135298 153842 178674 202947 215146 230763 243451 322719 340463 387127 405894 461526 486902 645438 680926 730353 774254 879437 1021389 1161381 1398449 1460706 1758874 1816519 2042778 2322762 2638311 2796898 3633038 4195347 4426019 5276622 5449557 6561953 8390694 8852038 10899114 13123906 13278057 19685859 20768243 23614747 26556114 33024911 39371718 41536486 47229494 62304729 66049822 70844241 85305389 99074733 124609458 141688482 170610778 198149466 255916167 269987159 429323843 511832334 539974318 809961477 858647686 1287971529 1619922954 2014519571 2575943058 4029039142 6043558713 12087117426 26188754423 52377508846 78566263269 157132526538