157291344000 has 1536 divisors, whose sum is σ = 698809213440. Its totient is φ = 33089126400.

The previous prime is 157291343969. The next prime is 157291344031. The reversal of 157291344000 is 443192751.

It is an interprime number because it is at equal distance from previous prime (157291343969) and next prime (157291344031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1148111932 + ... + 1148112068.

It is an arithmetic number, because the mean of its divisors is an integer number (454953915).

Almost surely, 2^157291344000 is an apocalyptic number.

157291344000 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 157291344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349404606720).

157291344000 is an abundant number, since it is smaller than the sum of its proper divisors (541517869440).

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

157291344000 is a wasteful number, since it uses less digits than its factorization.

157291344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 157291344000 in words is "one hundred fifty-seven billion, two hundred ninety-one million, three hundred forty-four thousand".