152591040 has 420 divisors, whose sum is σ = 642463536. Its totient is φ = 33675264.

The previous prime is 152590987. The next prime is 152591041. The reversal of 152591040 is 40195251.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152590995 and 152591013.

It is not an unprimeable number, because it can be changed into a prime (152591041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5261746 + ... + 5261774.

Almost surely, 2^152591040 is an apocalyptic number.

152591040 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 152591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321231768).

152591040 is an abundant number, since it is smaller than the sum of its proper divisors (489872496).

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

152591040 is an equidigital number, since it uses as much as digits as its factorization.

152591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152591040 is about 12352.7745871120. The cubic root of 152591040 is about 534.3711597139.

The spelling of 152591040 in words is "one hundred fifty-two million, five hundred ninety-one thousand, forty".