148008631680 has 1728 divisors, whose sum is σ = 672211191600. Its totient is φ = 29869572096.

The previous prime is 148008631663. The next prime is 148008631691. The reversal of 148008631680 is 86136800841.

It is a happy number.

148008631680 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 0 + 8 + 631 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1383258187 + ... + 1383258293.

Almost surely, 2^148008631680 is an apocalyptic number.

148008631680 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 148008631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336105595800).

148008631680 is an abundant number, since it is smaller than the sum of its proper divisors (524202559920).

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

148008631680 is a wasteful number, since it uses less digits than its factorization.

148008631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 148008631680 in words is "one hundred forty-eight billion, eight million, six hundred thirty-one thousand, six hundred eighty".