157088345120 has 192 divisors, whose sum is σ = 433315733760. Its totient is φ = 52699066368.

The previous prime is 157088345093. The next prime is 157088345149. The reversal of 157088345120 is 21543880751.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23087639 + ... + 23094441.

It is an arithmetic number, because the mean of its divisors is an integer number (2256852780).

Almost surely, 2^157088345120 is an apocalyptic number.

157088345120 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 157088345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216657866880).

157088345120 is an abundant number, since it is smaller than the sum of its proper divisors (276227388640).

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

157088345120 is a wasteful number, since it uses less digits than its factorization.

157088345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 157088345120 in words is "one hundred fifty-seven billion, eighty-eight million, three hundred forty-five thousand, one hundred twenty".