142536576 has 128 divisors (see below), whose sum is σ = 466099200. Its totient is φ = 37582848.

The previous prime is 142536533. The next prime is 142536593. The reversal of 142536576 is 675635241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32905 + ... + 36983.

It is an arithmetic number, because the mean of its divisors is an integer number (3641400).

Almost surely, 2^142536576 is an apocalyptic number.

142536576 is a gapful number since it is divisible by the number (16) 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 142536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).

142536576 is an abundant number, since it is smaller than the sum of its proper divisors (323562624).

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

142536576 is a wasteful number, since it uses less digits than its factorization.

142536576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4104 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 142536576 is about 11938.8682880749. The cubic root of 142536576 is about 522.3666483558.

The spelling of 142536576 in words is "one hundred forty-two million, five hundred thirty-six thousand, five hundred seventy-six".