157264130400000 has 1728 divisors, whose sum is σ = 598751477452800. Its totient is φ = 36299243520000.

The previous prime is 157264130399969. The next prime is 157264130400043. The reversal of 157264130400000 is 4031462751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 254061599691 + ... + 254061600309.

It is an arithmetic number, because the mean of its divisors is an integer number (346499697600).

Almost surely, 2^{157264130400000} is an apocalyptic number.

157264130400000 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 157264130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299375738726400).

157264130400000 is an abundant number, since it is smaller than the sum of its proper divisors (441487347052800).

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

157264130400000 is an equidigital number, since it uses as much as digits as its factorization.

157264130400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 157264130400000 its reverse (4031462751), we get a palindrome (157268161862751).

The spelling of 157264130400000 in words is "one hundred fifty-seven trillion, two hundred sixty-four billion, one hundred thirty million, four hundred thousand".