135007972 has 24 divisors (see below), whose sum is σ = 258037920. Its totient is φ = 61296960.

The previous prime is 135007969. The next prime is 135007979. The reversal of 135007972 is 279700531.

It is not an unprimeable number, because it can be changed into a prime (135007979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69843 + ... + 71749.

It is an arithmetic number, because the mean of its divisors is an integer number (10751580).

Almost surely, 2^135007972 is an apocalyptic number.

It is an amenable number.

135007972 is a deficient number, since it is larger than the sum of its proper divisors (123029948).

135007972 is a wasteful number, since it uses less digits than its factorization.

135007972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 135007972 is about 11619.2930938160. The cubic root of 135007972 is about 513.0028815289.

The spelling of 135007972 in words is "one hundred thirty-five million, seven thousand, nine hundred seventy-two".