152307540 has 432 divisors, whose sum is σ = 618124416. Its totient is φ = 30792960.

The previous prime is 152307527. The next prime is 152307559. The reversal of 152307540 is 45703251.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4116402 + ... + 4116438.

Almost surely, 2^152307540 is an apocalyptic number.

152307540 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 152307540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309062208).

152307540 is an abundant number, since it is smaller than the sum of its proper divisors (465816876).

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

152307540 is a wasteful number, since it uses less digits than its factorization.

152307540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 152307540 is about 12341.2940974600. The cubic root of 152307540 is about 534.0400172006.

The spelling of 152307540 in words is "one hundred fifty-two million, three hundred seven thousand, five hundred forty".