148871735724096 has 672 divisors, whose sum is σ = 549417878470656. Its totient is φ = 37403638272000.

The previous prime is 148871735724077. The next prime is 148871735724109. The reversal of 148871735724096 is 690427537178841.

It is a happy number.

148871735724096 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 7 + 1 + 7 + 3 + 572 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3177398206 + ... + 3177445058.

It is a 1-persistent number, because it is pandigital, but 2⋅148871735724096 = 297743471448192 is not.

Almost surely, 2^{148871735724096} is an apocalyptic number.

148871735724096 is a gapful number since it is divisible by the number (16) 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 148871735724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274708939235328).

148871735724096 is an abundant number, since it is smaller than the sum of its proper divisors (400546142746560).

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

148871735724096 is a wasteful number, since it uses less digits than its factorization.

148871735724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49231 (or 49218 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 148871735724096 in words is "one hundred forty-eight trillion, eight hundred seventy-one billion, seven hundred thirty-five million, seven hundred twenty-four thousand, ninety-six".