1357135272 has 48 divisors (see below), whose sum is σ = 3802324500. Its totient is φ = 436778496.

The previous prime is 1357135271. The next prime is 1357135291. The reversal of 1357135272 is 2725317531.

It is a happy number.

1357135272 is a `hidden beast` number, since 1 + 357 + 1 + 35 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1299890916 + 57244356 = 36054^2 + 7566^2 .

It is a super-2 number, since 2×1357135272² = 3683632293013027968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1357135271) 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, 322897 + ... + 327072.

Almost surely, 2^1357135272 is an apocalyptic number.

1357135272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1357135272 is an abundant number, since it is smaller than the sum of its proper divisors (2445189228).

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

1357135272 is a wasteful number, since it uses less digits than its factorization.

1357135272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650010 (or 650003 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 1357135272 is about 36839.3169317782. The cubic root of 1357135272 is about 1107.1531822404.

The spelling of 1357135272 in words is "one billion, three hundred fifty-seven million, one hundred thirty-five thousand, two hundred seventy-two".