157009764352 has 224 divisors, whose sum is σ = 385013606400. Its totient is φ = 62522523648.

The previous prime is 157009764349. The next prime is 157009764383. The reversal of 157009764352 is 253467900751.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×157009764352³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 157009764296 and 157009764305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57744049 + ... + 57746767.

Almost surely, 2^157009764352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157009764352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192506803200).

157009764352 is an abundant number, since it is smaller than the sum of its proper divisors (228003842048).

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

157009764352 is an equidigital number, since it uses as much as digits as its factorization.

157009764352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 157009764352 in words is "one hundred fifty-seven billion, nine million, seven hundred sixty-four thousand, three hundred fifty-two".