149987908224 has 1024 divisors, whose sum is σ = 577414656000. Its totient is φ = 37203148800.

The previous prime is 149987908219. The next prime is 149987908241. The reversal of 149987908224 is 422809789941.

It is a super-2 number, since 2×149987908224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 643724812 + ... + 643725044.

It is an arithmetic number, because the mean of its divisors is an integer number (563881500).

Almost surely, 2^149987908224 is an apocalyptic number.

149987908224 is a gapful number since it is divisible by the number (14) 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 149987908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328000).

149987908224 is an abundant number, since it is smaller than the sum of its proper divisors (427426747776).

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

149987908224 is a wasteful number, since it uses less digits than its factorization.

149987908224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 149987908224 in words is "one hundred forty-nine billion, nine hundred eighty-seven million, nine hundred eight thousand, two hundred twenty-four".