152752640 has 40 divisors (see below), whose sum is σ = 366254460. Its totient is φ = 61100032.

The previous prime is 152752603. The next prime is 152752643. The reversal of 152752640 is 46257251.

It can be written as a sum of positive squares in 2 ways, for example, as 151388416 + 1364224 = 12304^2 + 1168^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 152752597 and 152752606.

It is not an unprimeable number, because it can be changed into a prime (152752643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27275 + ... + 32394.

Almost surely, 2^152752640 is an apocalyptic number.

152752640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152752640 is an abundant number, since it is smaller than the sum of its proper divisors (213501820).

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

152752640 is an frugal number, since it uses more digits than its factorization.

152752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59692 (or 59676 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 152752640 is about 12359.3138968148. The cubic root of 152752640 is about 534.5597332874.

The spelling of 152752640 in words is "one hundred fifty-two million, seven hundred fifty-two thousand, six hundred forty".