157158636800 has 432 divisors, whose sum is σ = 449331865920. Its totient is φ = 53821440000.

The previous prime is 157158636793. The next prime is 157158636809. The reversal of 157158636800 is 8636851751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157158636809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391916600 + ... + 391917000.

It is an arithmetic number, because the mean of its divisors is an integer number (1040120060).

Almost surely, 2^157158636800 is an apocalyptic number.

157158636800 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 157158636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665932960).

157158636800 is an abundant number, since it is smaller than the sum of its proper divisors (292173229120).

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

157158636800 is a wasteful number, since it uses less digits than its factorization.

157158636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 157158636800 in words is "one hundred fifty-seven billion, one hundred fifty-eight million, six hundred thirty-six thousand, eight hundred".