149629712400 has 675 divisors, whose sum is σ = 626725403469. Its totient is φ = 34089672960.

The previous prime is 149629712381. The next prime is 149629712423. The reversal of 149629712400 is 4217926941.

The square root of 149629712400 is 386820.

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

149629712400 is a `hidden beast` number, since 1 + 4 + 9 + 629 + 7 + 12 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53866696464 + 95763015936 = 232092^2 + 309456^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 487393047 + ... + 487393353.

Almost surely, 2^149629712400 is an apocalyptic number.

149629712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149629712400 is the 386820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149629712400

149629712400 is an abundant number, since it is smaller than the sum of its proper divisors (477095691069).

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

149629712400 is an equidigital number, since it uses as much as digits as its factorization.

149629712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149629712400 in words is "one hundred forty-nine billion, six hundred twenty-nine million, seven hundred twelve thousand, four hundred".