135477972 has 36 divisors (see below), whose sum is σ = 391381536. Its totient is φ = 38707920.

The previous prime is 135477971. The next prime is 135477989. The reversal of 135477972 is 279774531.

135477972 is a `hidden beast` number, since 13 + 547 + 7 + 97 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135477971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268554 + ... + 269057.

Almost surely, 2^135477972 is an apocalyptic number.

135477972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135477972 is an abundant number, since it is smaller than the sum of its proper divisors (255903564).

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

135477972 is a wasteful number, since it uses less digits than its factorization.

135477972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537628 (or 537623 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 135477972 is about 11639.5005047468. The cubic root of 135477972 is about 513.5974935826.

The spelling of 135477972 in words is "one hundred thirty-five million, four hundred seventy-seven thousand, nine hundred seventy-two".