150152640 has 224 divisors, whose sum is σ = 531083520. Its totient is φ = 35635200.

The previous prime is 150152627. The next prime is 150152677. The reversal of 150152640 is 46251051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150152640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622920 + ... + 623160.

Almost surely, 2^150152640 is an apocalyptic number.

150152640 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 150152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265541760).

150152640 is an abundant number, since it is smaller than the sum of its proper divisors (380930880).

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

150152640 is a wasteful number, since it uses less digits than its factorization.

150152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 150152640 is about 12253.6786313335. The cubic root of 150152640 is about 531.5094503862.

The spelling of 150152640 in words is "one hundred fifty million, one hundred fifty-two thousand, six hundred forty".