149245176960 has 384 divisors, whose sum is σ = 566536576320. Its totient is φ = 35902464000.

The previous prime is 149245176953. The next prime is 149245176973. The reversal of 149245176960 is 69671542941.

149245176960 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 4 + 517 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 149245176897 and 149245176906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8291170 + ... + 8309150.

Almost surely, 2^149245176960 is an apocalyptic number.

149245176960 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 149245176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283268288160).

149245176960 is an abundant number, since it is smaller than the sum of its proper divisors (417291399360).

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

149245176960 is a wasteful number, since it uses less digits than its factorization.

149245176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 149245176960 in words is "one hundred forty-nine billion, two hundred forty-five million, one hundred seventy-six thousand, nine hundred sixty".