148159065972960 has 1152 divisors, whose sum is σ = 622747480642560. Its totient is φ = 31305836593152.

The previous prime is 148159065972959. The next prime is 148159065973007. The reversal of 148159065972960 is 69279560951841.

148159065972960 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 5 + 9 + 0 + 6 + 597 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×148159065972960² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 3983930046 + ... + 3983967234.

It is an arithmetic number, because the mean of its divisors is an integer number (540579410280).

Almost surely, 2^{148159065972960} is an apocalyptic number.

148159065972960 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 148159065972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311373740321280).

148159065972960 is an abundant number, since it is smaller than the sum of its proper divisors (474588414669600).

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

148159065972960 is a wasteful number, since it uses less digits than its factorization.

148159065972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37648 (or 37637 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 148159065972960 in words is "one hundred forty-eight trillion, one hundred fifty-nine billion, sixty-five million, nine hundred seventy-two thousand, nine hundred sixty".