157369435200 has 336 divisors, whose sum is σ = 607417997760. Its totient is φ = 39496458240.

The previous prime is 157369435199. The next prime is 157369435213. The reversal of 157369435200 is 2534963751.

157369435200 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 6 + 9 + 435 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627259 + ... + 841541.

It is an arithmetic number, because the mean of its divisors is an integer number (1807791660).

Almost surely, 2^157369435200 is an apocalyptic number.

157369435200 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 157369435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303708998880).

157369435200 is an abundant number, since it is smaller than the sum of its proper divisors (450048562560).

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

157369435200 is a wasteful number, since it uses less digits than its factorization.

157369435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214331 (or 214310 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 157369435200 in words is "one hundred fifty-seven billion, three hundred sixty-nine million, four hundred thirty-five thousand, two hundred".