135307152 has 40 divisors (see below), whose sum is σ = 388382880. Its totient is φ = 45102240.

The previous prime is 135307141. The next prime is 135307163. The reversal of 135307152 is 251703531.

135307152 is a `hidden beast` number, since 13 + 530 + 71 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (135307141) and next prime (135307163).

It is a super-2 number, since 2×135307152² = 36616050764702208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156174 + ... + 157037.

It is an arithmetic number, because the mean of its divisors is an integer number (9709572).

Almost surely, 2^135307152 is an apocalyptic number.

135307152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135307152 is an abundant number, since it is smaller than the sum of its proper divisors (253075728).

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

135307152 is a wasteful number, since it uses less digits than its factorization.

135307152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313228 (or 313216 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135307152 is about 11632.1602464890. The cubic root of 135307152 is about 513.3815430444.

The spelling of 135307152 in words is "one hundred thirty-five million, three hundred seven thousand, one hundred fifty-two".