157088224800 has 864 divisors, whose sum is σ = 629395341120. Its totient is φ = 37996646400.

The previous prime is 157088224721. The next prime is 157088224801. The reversal of 157088224800 is 8422880751.

It is a happy number.

157088224800 is a `hidden beast` number, since 1 + 5 + 70 + 88 + 22 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (157088224801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154158691 + ... + 154159709.

It is an arithmetic number, because the mean of its divisors is an integer number (728466830).

Almost surely, 2^157088224800 is an apocalyptic number.

157088224800 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 157088224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314697670560).

157088224800 is an abundant number, since it is smaller than the sum of its proper divisors (472307116320).

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

157088224800 is a wasteful number, since it uses less digits than its factorization.

157088224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 157088224800 in words is "one hundred fifty-seven billion, eighty-eight million, two hundred twenty-four thousand, eight hundred".