149380264800 has 2016 divisors, whose sum is σ = 667028869920. Its totient is φ = 32248627200.

The previous prime is 149380264771. The next prime is 149380264807. The reversal of 149380264800 is 8462083941.

It is a happy number.

149380264800 is a `hidden beast` number, since 1 + 4 + 9 + 380 + 264 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149380264807) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2448856770 + ... + 2448856830.

It is an arithmetic number, because the mean of its divisors is an integer number (330867495).

Almost surely, 2^149380264800 is an apocalyptic number.

149380264800 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 149380264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333514434960).

149380264800 is an abundant number, since it is smaller than the sum of its proper divisors (517648605120).

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

149380264800 is a wasteful number, since it uses less digits than its factorization.

149380264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 149380264800 in words is "one hundred forty-nine billion, three hundred eighty million, two hundred sixty-four thousand, eight hundred".