148363632400 has 45 divisors (see below), whose sum is σ = 356462135701. Its totient is φ = 59342371520.

The previous prime is 148363632397. The next prime is 148363632433. The reversal of 148363632400 is 4236363841.

The square root of 148363632400 is 385180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53410907664 + 94952724736 = 231108^2 + 308144^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7693971 + ... + 7713229.

Almost surely, 2^148363632400 is an apocalyptic number.

148363632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148363632400 is the 385180-th square number.

It is an amenable number.

148363632400 is an abundant number, since it is smaller than the sum of its proper divisors (208098503301).

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

148363632400 is an frugal number, since it uses more digits than its factorization.

148363632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38536 (or 19266 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 148363632400 in words is "one hundred forty-eight billion, three hundred sixty-three million, six hundred thirty-two thousand, four hundred".