142153416864 has 72 divisors (see below), whose sum is σ = 404486720820. Its totient is φ = 47356581888.

The previous prime is 142153416859. The next prime is 142153416901. The reversal of 142153416864 is 468614351241.

142153416864 is a `hidden beast` number, since 1 + 4 + 2 + 153 + 416 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138911253264 + 3242163600 = 372708^2 + 56940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×142153416864² (a number of 23 digits) contains 22 as substring.

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, 347784 + ... + 636600.

Almost surely, 2^142153416864 is an apocalyptic number.

It is an amenable number.

142153416864 is an abundant number, since it is smaller than the sum of its proper divisors (262333303956).

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

142153416864 is a wasteful number, since it uses less digits than its factorization.

142153416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290542 (or 290531 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 142153416864 in words is "one hundred forty-two billion, one hundred fifty-three million, four hundred sixteen thousand, eight hundred sixty-four".