152252640 has 144 divisors (see below), whose sum is σ = 542269728. Its totient is φ = 38827008.

The previous prime is 152252593. The next prime is 152252641. The reversal of 152252640 is 46252251.

152252640 is a `hidden beast` number, since 15 + 2 + 2 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152252641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30822 + ... + 35418.

It is an arithmetic number, because the mean of its divisors is an integer number (3765762).

Almost surely, 2^152252640 is an apocalyptic number.

152252640 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 152252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271134864).

152252640 is an abundant number, since it is smaller than the sum of its proper divisors (390017088).

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

152252640 is a wasteful number, since it uses less digits than its factorization.

152252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 152252640 is about 12339.0696569879. The cubic root of 152252640 is about 533.9758437080.

The spelling of 152252640 in words is "one hundred fifty-two million, two hundred fifty-two thousand, six hundred forty".