148877688960 has 2560 divisors, whose sum is σ = 756396748800. Its totient is φ = 26873856000.

The previous prime is 148877688929. The next prime is 148877688961. The reversal of 148877688960 is 69886778841.

148877688960 is a `hidden beast` number, since 1 + 488 + 7 + 7 + 6 + 8 + 89 + 60 = 666.

148877688960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (148877688961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 985944885 + ... + 985945035.

It is an arithmetic number, because the mean of its divisors is an integer number (295467480).

Almost surely, 2^148877688960 is an apocalyptic number.

148877688960 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 148877688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378198374400).

148877688960 is an abundant number, since it is smaller than the sum of its proper divisors (607519059840).

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

148877688960 is a wasteful number, since it uses less digits than its factorization.

148877688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 148877688960 in words is "one hundred forty-eight billion, eight hundred seventy-seven million, six hundred eighty-eight thousand, nine hundred sixty".