149430726400 has 108 divisors (see below), whose sum is σ = 370104435064. Its totient is φ = 59733504000.

The previous prime is 149430726391. The next prime is 149430726433. The reversal of 149430726400 is 4627034941.

149430726400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 11 ways as a sum of consecutive naturals, for example, 11135695 + ... + 11149105.

Almost surely, 2^149430726400 is an apocalyptic number.

149430726400 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 149430726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185052217532).

149430726400 is an abundant number, since it is smaller than the sum of its proper divisors (220673708664).

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

149430726400 is a wasteful number, since it uses less digits than its factorization.

149430726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15178 (or 15159 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 149430726400 in words is "one hundred forty-nine billion, four hundred thirty million, seven hundred twenty-six thousand, four hundred".