1353153672 has 192 divisors, whose sum is σ = 4068792000. Its totient is φ = 403702272.

The previous prime is 1353153649. The next prime is 1353153679. The reversal of 1353153672 is 2763513531.

1353153672 is a `hidden beast` number, since 1 + 3 + 53 + 1 + 536 + 72 = 666.

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

Its product of digits (56700) is a multiple of the sum of its prime factors (420).

It is not an unprimeable number, because it can be changed into a prime (1353153679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5908854 + ... + 5909082.

It is an arithmetic number, because the mean of its divisors is an integer number (21191625).

Almost surely, 2^1353153672 is an apocalyptic number.

1353153672 is a gapful number since it is divisible by the number (12) 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 1353153672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034396000).

1353153672 is an abundant number, since it is smaller than the sum of its proper divisors (2715638328).

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

1353153672 is a wasteful number, since it uses less digits than its factorization.

1353153672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 1353153672 is about 36785.2371475297. The cubic root of 1353153672 is about 1106.0693897236.

The spelling of 1353153672 in words is "one billion, three hundred fifty-three million, one hundred fifty-three thousand, six hundred seventy-two".