157341139200 has 1296 divisors, whose sum is σ = 678096182400. Its totient is φ = 35354050560.

The previous prime is 157341139199. The next prime is 157341139217. The reversal of 157341139200 is 2931143751.

157341139200 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 411 + 39 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 1055980726 + ... + 1055980874.

Almost surely, 2^157341139200 is an apocalyptic number.

157341139200 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 157341139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339048091200).

157341139200 is an abundant number, since it is smaller than the sum of its proper divisors (520755043200).

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

157341139200 is an equidigital number, since it uses as much as digits as its factorization.

157341139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 157341139200 in words is "one hundred fifty-seven billion, three hundred forty-one million, one hundred thirty-nine thousand, two hundred".