148672877633280 has 1728 divisors, whose sum is σ = 702362294000640. Its totient is φ = 28033214054400.

The previous prime is 148672877633263. The next prime is 148672877633299. The reversal of 148672877633280 is 82336778276841.

148672877633280 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 7 + 287 + 7 + 6 + 332 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 148672877633199 and 148672877633208.

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, 680250420 + ... + 680468940.

It is an arithmetic number, because the mean of its divisors is an integer number (406459660880).

Almost surely, 2^{148672877633280} is an apocalyptic number.

148672877633280 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 148672877633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351181147000320).

148672877633280 is an abundant number, since it is smaller than the sum of its proper divisors (553689416367360).

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

148672877633280 is a wasteful number, since it uses less digits than its factorization.

148672877633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218638 (or 218621 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 148672877633280 in words is "one hundred forty-eight trillion, six hundred seventy-two billion, eight hundred seventy-seven million, six hundred thirty-three thousand, two hundred eighty".