157286400000 has 300 divisors, whose sum is σ = 524254429944. Its totient is φ = 41943040000.

The previous prime is 157286399993. The next prime is 157286400023. The reversal of 157286400000 is 4682751.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×157286400000³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31457279998 + ... + 31457280002.

Almost surely, 2^157286400000 is an apocalyptic number.

157286400000 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 157286400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262127214972).

157286400000 is an abundant number, since it is smaller than the sum of its proper divisors (366968029944).

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

157286400000 is an frugal number, since it uses more digits than its factorization.

157286400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 157286400000 in words is "one hundred fifty-seven billion, two hundred eighty-six million, four hundred thousand".