149990588160 has 1152 divisors, whose sum is σ = 601293127680. Its totient is φ = 31123243008.

The previous prime is 149990588113. The next prime is 149990588173. The reversal of 149990588160 is 61885099941.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 149990588094 and 149990588103.

It is a congruent number.

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, 1807115479 + ... + 1807115561.

It is an arithmetic number, because the mean of its divisors is an integer number (521955840).

Almost surely, 2^149990588160 is an apocalyptic number.

149990588160 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 149990588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300646563840).

149990588160 is an abundant number, since it is smaller than the sum of its proper divisors (451302539520).

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

149990588160 is a wasteful number, since it uses less digits than its factorization.

149990588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 149990588160 in words is "one hundred forty-nine billion, nine hundred ninety million, five hundred eighty-eight thousand, one hundred sixty".