149916000960 has 896 divisors, whose sum is σ = 617724748800. Its totient is φ = 33841152000.

The previous prime is 149916000953. The next prime is 149916001111. The reversal of 149916000960 is 69000619941.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110150680 + ... + 110152040.

Almost surely, 2^149916000960 is an apocalyptic number.

149916000960 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 149916000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308862374400).

149916000960 is an abundant number, since it is smaller than the sum of its proper divisors (467808747840).

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

149916000960 is a wasteful number, since it uses less digits than its factorization.

149916000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 149916000960 in words is "one hundred forty-nine billion, nine hundred sixteen million, nine hundred sixty", and thus it is an aban number.