149361408 has 270 divisors, whose sum is σ = 520997204. Its totient is φ = 42674688.

The previous prime is 149361383. The next prime is 149361419. The reversal of 149361408 is 804163941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 29 ways as a sum of consecutive naturals, for example, 21337341 + ... + 21337347.

Almost surely, 2^149361408 is an apocalyptic number.

149361408 is a gapful number since it is divisible by the number (18) 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 149361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260498602).

149361408 is an abundant number, since it is smaller than the sum of its proper divisors (371635796).

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

149361408 is an frugal number, since it uses more digits than its factorization.

149361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149361408 is about 12221.3504982060. The cubic root of 149361408 is about 530.5742062031.

It can be divided in two parts, 149361 and 408, that added together give a square (149769 = 387²).

The spelling of 149361408 in words is "one hundred forty-nine million, three hundred sixty-one thousand, four hundred eight".