148532630400 has 864 divisors, whose sum is σ = 665892536400. Its totient is φ = 30858854400.

The previous prime is 148532630383. The next prime is 148532630413. The reversal of 148532630400 is 4036235841.

148532630400 is a `hidden beast` number, since 14 + 8 + 5 + 3 + 2 + 630 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 24390556 + ... + 24396644.

Almost surely, 2^148532630400 is an apocalyptic number.

148532630400 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 148532630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332946268200).

148532630400 is an abundant number, since it is smaller than the sum of its proper divisors (517359906000).

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

148532630400 is a wasteful number, since it uses less digits than its factorization.

148532630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 148532630400 in words is "one hundred forty-eight billion, five hundred thirty-two million, six hundred thirty thousand, four hundred".