157193357400 has 768 divisors, whose sum is σ = 615496320000. Its totient is φ = 36659589120.

The previous prime is 157193357389. The next prime is 157193357401. The reversal of 157193357400 is 4753391751.

157193357400 is a `hidden beast` number, since 1 + 5 + 7 + 193 + 3 + 57 + 400 = 666.

It is a super-2 number, since 2×157193357400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157193357401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68433052 + ... + 68435348.

It is an arithmetic number, because the mean of its divisors is an integer number (801427500).

Almost surely, 2^157193357400 is an apocalyptic number.

157193357400 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 157193357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307748160000).

157193357400 is an abundant number, since it is smaller than the sum of its proper divisors (458302962600).

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

157193357400 is a wasteful number, since it uses less digits than its factorization.

157193357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 157193357400 in words is "one hundred fifty-seven billion, one hundred ninety-three million, three hundred fifty-seven thousand, four hundred".