149790412800 has 1404 divisors, whose sum is σ = 650265273216. Its totient is φ = 32823705600.

The previous prime is 149790412787. The next prime is 149790412813. The reversal of 149790412800 is 8214097941.

It is a happy number.

149790412800 is a `hidden beast` number, since 149 + 7 + 90 + 412 + 8 + 0 + 0 = 666.

149790412800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149790412787) and next prime (149790412813).

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1399910347 + ... + 1399910453.

It is an arithmetic number, because the mean of its divisors is an integer number (463151904).

Almost surely, 2^149790412800 is an apocalyptic number.

149790412800 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 149790412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325132636608).

149790412800 is an abundant number, since it is smaller than the sum of its proper divisors (500474860416).

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

149790412800 is a wasteful number, since it uses less digits than its factorization.

149790412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 149790412800 in words is "one hundred forty-nine billion, seven hundred ninety million, four hundred twelve thousand, eight hundred".