149113784856960 has 6144 divisors, whose sum is σ = 749355909120000. Its totient is φ = 27427457433600.

The previous prime is 149113784856871. The next prime is 149113784856977. The reversal of 149113784856960 is 69658487311941.

149113784856960 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 13 + 7 + 8 + 48 + 569 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4810122092145 + ... + 4810122092175.

It is an arithmetic number, because the mean of its divisors is an integer number (121965480000).

Almost surely, 2^{149113784856960} is an apocalyptic number.

149113784856960 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 149113784856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374677954560000).

149113784856960 is an abundant number, since it is smaller than the sum of its proper divisors (600242124263040).

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

149113784856960 is an equidigital number, since it uses as much as digits as its factorization.

149113784856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 149113784856960 in words is "one hundred forty-nine trillion, one hundred thirteen billion, seven hundred eighty-four million, eight hundred fifty-six thousand, nine hundred sixty".