149079737625 has 288 divisors, whose sum is σ = 318000968064. Its totient is φ = 61798464000.

The previous prime is 149079737621. The next prime is 149079737641. The reversal of 149079737625 is 526737970941.

It is not a de Polignac number, because 149079737625 - 2² = 149079737621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149079737621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 189427482 + ... + 189428268.

It is an arithmetic number, because the mean of its divisors is an integer number (1104170028).

Almost surely, 2^149079737625 is an apocalyptic number.

149079737625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149079737625 is an abundant number, since it is smaller than the sum of its proper divisors (168921230439).

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

149079737625 is a wasteful number, since it uses less digits than its factorization.

149079737625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 149079737625 in words is "one hundred forty-nine billion, seventy-nine million, seven hundred thirty-seven thousand, six hundred twenty-five".