315135011400 has 96 divisors (see below), whose sum is σ = 1065729333600. Its totient is φ = 76396364800.

The previous prime is 315135011357. The next prime is 315135011407. The reversal of 315135011400 is 4110531513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (315135011407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23867265 + ... + 23880464.

It is an arithmetic number, because the mean of its divisors is an integer number (11101347225).

Almost surely, 2^315135011400 is an apocalyptic number.

315135011400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315135011400 is an abundant number, since it is smaller than the sum of its proper divisors (750594322200).

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

315135011400 is a wasteful number, since it uses less digits than its factorization.

315135011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47747759 (or 47747750 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 315135011400 its reverse (4110531513), we get a palindrome (319245542913).

The spelling of 315135011400 in words is "three hundred fifteen billion, one hundred thirty-five million, eleven thousand, four hundred".