149536800 has 576 divisors, whose sum is σ = 659957760. Its totient is φ = 31933440.

The previous prime is 149536787. The next prime is 149536813. The reversal of 149536800 is 8635941.

149536800 is a `hidden beast` number, since 1 + 49 + 536 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149536787) and next prime (149536813).

It is a super-2 number, since 2×149536800² = 44722509108480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3477579 + ... + 3477621.

It is an arithmetic number, because the mean of its divisors is an integer number (1145760).

Almost surely, 2^149536800 is an apocalyptic number.

149536800 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 149536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

149536800 is an abundant number, since it is smaller than the sum of its proper divisors (510420960).

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

149536800 is a wasteful number, since it uses less digits than its factorization.

149536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149536800 is about 12228.5240319509. The cubic root of 149536800 is about 530.7818057221.

The spelling of 149536800 in words is "one hundred forty-nine million, five hundred thirty-six thousand, eight hundred".