149590425600 has 2160 divisors, whose sum is σ = 730189264896. Its totient is φ = 28311552000.

The previous prime is 149590425563. The next prime is 149590425667. The reversal of 149590425600 is 6524095941.

149590425600 is a `hidden beast` number, since 1 + 4 + 9 + 590 + 4 + 2 + 56 + 0 + 0 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4825497585 + ... + 4825497615.

Almost surely, 2^149590425600 is an apocalyptic number.

149590425600 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 149590425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365094632448).

149590425600 is an abundant number, since it is smaller than the sum of its proper divisors (580598839296).

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

149590425600 is a wasteful number, since it uses less digits than its factorization.

149590425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 149590425600 in words is "one hundred forty-nine billion, five hundred ninety million, four hundred twenty-five thousand, six hundred".