149558400 has 240 divisors, whose sum is σ = 552859890. Its totient is φ = 39813120.

The previous prime is 149558393. The next prime is 149558411. The reversal of 149558400 is 4855941.

It can be written as a sum of positive squares in 3 ways, for example, as 144576576 + 4981824 = 12024^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258912 + ... + 259488.

Almost surely, 2^149558400 is an apocalyptic number.

149558400 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 149558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276429945).

149558400 is an abundant number, since it is smaller than the sum of its proper divisors (403301490).

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

149558400 is an equidigital number, since it uses as much as digits as its factorization.

149558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 149558400 is about 12229.4071810534. The cubic root of 149558400 is about 530.8073609367.

It can be divided in two parts, 1495 and 58400, that added together give a palindrome (59895).

The spelling of 149558400 in words is "one hundred forty-nine million, five hundred fifty-eight thousand, four hundred".