148788072115200 has 2640 divisors, whose sum is σ = 643975943776704. Its totient is φ = 33242362675200.

The previous prime is 148788072115103. The next prime is 148788072115211. The reversal of 148788072115200 is 2511270887841.

148788072115200 is a `hidden beast` number, since 1 + 48 + 7 + 8 + 8 + 0 + 72 + 1 + 1 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 174429157974 + ... + 174429158826.

Almost surely, 2^{148788072115200} is an apocalyptic number.

148788072115200 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 148788072115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321987971888352).

148788072115200 is an abundant number, since it is smaller than the sum of its proper divisors (495187871661504).

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

148788072115200 is a wasteful number, since it uses less digits than its factorization.

148788072115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 148788072115200 in words is "one hundred forty-eight trillion, seven hundred eighty-eight billion, seventy-two million, one hundred fifteen thousand, two hundred".