150413760 has 280 divisors, whose sum is σ = 612221280. Its totient is φ = 34338816.

The previous prime is 150413717. The next prime is 150413881. The reversal of 150413760 is 67314051.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 181026 + ... + 181854.

Almost surely, 2^150413760 is an apocalyptic number.

150413760 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 150413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306110640).

150413760 is an abundant number, since it is smaller than the sum of its proper divisors (461807520).

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

150413760 is an equidigital number, since it uses as much as digits as its factorization.

150413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 150413760 is about 12264.3287627167. The cubic root of 150413760 is about 531.8173756488.

The spelling of 150413760 in words is "one hundred fifty million, four hundred thirteen thousand, seven hundred sixty".