1352972160 has 160 divisors (see below), whose sum is σ = 4831893000. Its totient is φ = 360778752.

The previous prime is 1352972147. The next prime is 1352972213. The reversal of 1352972160 is 612792531.

1352972160 is a `hidden beast` number, since 1 + 3 + 529 + 72 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38791 + ... + 64889.

Almost surely, 2^1352972160 is an apocalyptic number.

1352972160 is a gapful number since it is divisible by the number (10) 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 1352972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415946500).

1352972160 is an abundant number, since it is smaller than the sum of its proper divisors (3478920840).

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

1352972160 is an equidigital number, since it uses as much as digits as its factorization.

1352972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26130 (or 26109 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1352972160 is about 36782.7698793878. The cubic root of 1352972160 is about 1106.0199314719.

The spelling of 1352972160 in words is "one billion, three hundred fifty-two million, nine hundred seventy-two thousand, one hundred sixty".