149967290928 has 320 divisors, whose sum is σ = 512607191040. Its totient is φ = 36671947776.

The previous prime is 149967290873. The next prime is 149967290951. The reversal of 149967290928 is 829092769941.

It is a super-2 number, since 2×149967290928² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3881401 + ... + 3919847.

It is an arithmetic number, because the mean of its divisors is an integer number (1601897472).

Almost surely, 2^149967290928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149967290928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256303595520).

149967290928 is an abundant number, since it is smaller than the sum of its proper divisors (362639900112).

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

149967290928 is a wasteful number, since it uses less digits than its factorization.

149967290928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38544 (or 38538 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 66.

The spelling of 149967290928 in words is "one hundred forty-nine billion, nine hundred sixty-seven million, two hundred ninety thousand, nine hundred twenty-eight".