149076345600 has 1944 divisors, whose sum is σ = 709925186880. Its totient is φ = 29479403520.

The previous prime is 149076345511. The next prime is 149076345629. The reversal of 149076345600 is 6543670941.

149076345600 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 7 + 6 + 34 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 623750281 + ... + 623750519.

Almost surely, 2^149076345600 is an apocalyptic number.

149076345600 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 149076345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354962593440).

149076345600 is an abundant number, since it is smaller than the sum of its proper divisors (560848841280).

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

149076345600 is a wasteful number, since it uses less digits than its factorization.

149076345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 149076345600 in words is "one hundred forty-nine billion, seventy-six million, three hundred forty-five thousand, six hundred".