2137416145600 has 84 divisors (see below), whose sum is σ = 5259754173384. Its totient is φ = 854905569280.

The previous prime is 2137416145559. The next prime is 2137416145663. The reversal of 2137416145600 is 65416147312.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 27357792 + ... + 27435808.

Almost surely, 2^{2137416145600} is an apocalyptic number.

2137416145600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137416145600 is an abundant number, since it is smaller than the sum of its proper divisors (3122338027784).

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

2137416145600 is a wasteful number, since it uses less digits than its factorization.

2137416145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95162 (or 95147 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 2137416145600 in words is "two trillion, one hundred thirty-seven billion, four hundred sixteen million, one hundred forty-five thousand, six hundred".