149287459681800 has 1920 divisors, whose sum is σ = 638256274698240. Its totient is φ = 31887151718400.

The previous prime is 149287459681769. The next prime is 149287459681901. The reversal of 149287459681800 is 8186954782941.

149287459681800 is a `hidden beast` number, since 1 + 4 + 9 + 28 + 7 + 4 + 596 + 8 + 1 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3274758607 + ... + 3274804193.

It is an arithmetic number, because the mean of its divisors is an integer number (332425143072).

Almost surely, 2^{149287459681800} is an apocalyptic number.

149287459681800 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 149287459681800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319128137349120).

149287459681800 is an abundant number, since it is smaller than the sum of its proper divisors (488968815016440).

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

149287459681800 is a wasteful number, since it uses less digits than its factorization.

149287459681800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45713 (or 45695 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 149287459681800 in words is "one hundred forty-nine trillion, two hundred eighty-seven billion, four hundred fifty-nine million, six hundred eighty-one thousand, eight hundred".