157033089120 has 144 divisors (see below), whose sum is σ = 511127048880. Its totient is φ = 40524549120.

The previous prime is 157033089067. The next prime is 157033089131. The reversal of 157033089120 is 21980330751.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 291066 + ... + 631494.

It is an arithmetic number, because the mean of its divisors is an integer number (3549493395).

Almost surely, 2^157033089120 is an apocalyptic number.

157033089120 is a gapful number since it is divisible by the number (10) 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 157033089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255563524440).

157033089120 is an abundant number, since it is smaller than the sum of its proper divisors (354093959760).

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

157033089120 is a wasteful number, since it uses less digits than its factorization.

157033089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340509 (or 340470 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 157033089120 in words is "one hundred fifty-seven billion, thirty-three million, eighty-nine thousand, one hundred twenty".