149921392320 has 448 divisors, whose sum is σ = 606352051200. Its totient is φ = 34159656960.

The previous prime is 149921392261. The next prime is 149921392331. The reversal of 149921392320 is 23293129941.

It is a happy number.

149921392320 is a `hidden beast` number, since 1 + 499 + 2 + 139 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 20015136 + ... + 20022624.

It is an arithmetic number, because the mean of its divisors is an integer number (1353464400).

Almost surely, 2^149921392320 is an apocalyptic number.

149921392320 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 149921392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303176025600).

149921392320 is an abundant number, since it is smaller than the sum of its proper divisors (456430658880).

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

149921392320 is a wasteful number, since it uses less digits than its factorization.

149921392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7853 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 149921392320 in words is "one hundred forty-nine billion, nine hundred twenty-one million, three hundred ninety-two thousand, three hundred twenty".