149907284824320 has 1728 divisors, whose sum is σ = 581464476633600. Its totient is φ = 36459416125440.

The previous prime is 149907284824313. The next prime is 149907284824357. The reversal of 149907284824320 is 23428482709941.

It is a happy number.

149907284824320 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 0 + 7 + 284 + 8 + 24 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182591089510 + ... + 182591090330.

It is an arithmetic number, because the mean of its divisors is an integer number (336495646200).

Almost surely, 2^{149907284824320} is an apocalyptic number.

149907284824320 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 149907284824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290732238316800).

149907284824320 is an abundant number, since it is smaller than the sum of its proper divisors (431557191809280).

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

149907284824320 is an equidigital number, since it uses as much as digits as its factorization.

149907284824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 149907284824320 in words is "one hundred forty-nine trillion, nine hundred seven billion, two hundred eighty-four million, eight hundred twenty-four thousand, three hundred twenty".