149264726400 has 240 divisors, whose sum is σ = 550820621340. Its totient is φ = 39803857920.

The previous prime is 149264726393. The next prime is 149264726437. The reversal of 149264726400 is 4627462941.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28734 + ... + 547133.

Almost surely, 2^149264726400 is an apocalyptic number.

149264726400 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 149264726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275410310670).

149264726400 is an abundant number, since it is smaller than the sum of its proper divisors (401555894940).

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

149264726400 is an equidigital number, since it uses as much as digits as its factorization.

149264726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575903 (or 575877 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 149264726400 in words is "one hundred forty-nine billion, two hundred sixty-four million, seven hundred twenty-six thousand, four hundred".