149960160 has 576 divisors, whose sum is σ = 660441600. Its totient is φ = 31352832.

The previous prime is 149960159. The next prime is 149960191. The reversal of 149960160 is 61069941.

149960160 = 12³ + 13³ + ... + 156³.

149960160 is a `hidden beast` number, since 1 + 49 + 9 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5171026 + ... + 5171054.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^149960160 is an apocalyptic number.

149960160 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 149960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

149960160 is an abundant number, since it is smaller than the sum of its proper divisors (510481440).

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

149960160 is a wasteful number, since it uses less digits than its factorization.

149960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 149960160 is about 12245.8221447153. The cubic root of 149960160 is about 531.2822400734.

The spelling of 149960160 in words is "one hundred forty-nine million, nine hundred sixty thousand, one hundred sixty".