157089422439936 has 480 divisors, whose sum is σ = 545965306698240. Its totient is φ = 42477026476032.

The previous prime is 157089422439881. The next prime is 157089422439947. The reversal of 157089422439936 is 639934224980751.

157089422439936 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 8 + 9 + 4 + 224 + 399 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602314936 + ... + 602575688.

It is an arithmetic number, because the mean of its divisors is an integer number (1137427722288).

It is a 1-persistent number, because it is pandigital, but 2⋅157089422439936 = 314178844879872 is not.

Almost surely, 2^{157089422439936} is an apocalyptic number.

157089422439936 is a gapful number since it is divisible by the number (16) 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 157089422439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272982653349120).

157089422439936 is an abundant number, since it is smaller than the sum of its proper divisors (388875884258304).

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

157089422439936 is a wasteful number, since it uses less digits than its factorization.

157089422439936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261786 (or 261767 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 157089422439936 in words is "one hundred fifty-seven trillion, eighty-nine billion, four hundred twenty-two million, four hundred thirty-nine thousand, nine hundred thirty-six".