149357600 has 144 divisors (see below), whose sum is σ = 421848000. Its totient is φ = 50580480.

The previous prime is 149357591. The next prime is 149357603. The reversal of 149357600 is 6753941.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (149357603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834311 + ... + 834489.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^149357600 is an apocalyptic number.

149357600 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 149357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210924000).

149357600 is an abundant number, since it is smaller than the sum of its proper divisors (272490400).

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

149357600 is a wasteful number, since it uses less digits than its factorization.

149357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 149357600 is about 12221.1947042832. The cubic root of 149357600 is about 530.5696971318.

The spelling of 149357600 in words is "one hundred forty-nine million, three hundred fifty-seven thousand, six hundred".