149915376 has 120 divisors (see below), whose sum is σ = 460658016. Its totient is φ = 45227520.

The previous prime is 149915351. The next prime is 149915387. The reversal of 149915376 is 673519941.

149915376 is a `hidden beast` number, since 1 + 499 + 153 + 7 + 6 = 666.

It is a super-2 number, since 2×149915376² = 44949239922442752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98461 + ... + 99971.

Almost surely, 2^149915376 is an apocalyptic number.

149915376 is a gapful number since it is divisible by the number (16) 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 149915376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

149915376 is an abundant number, since it is smaller than the sum of its proper divisors (310742640).

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

149915376 is a wasteful number, since it uses less digits than its factorization.

149915376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1582 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 149915376 is about 12243.9934661858. The cubic root of 149915376 is about 531.2293475524.

The spelling of 149915376 in words is "one hundred forty-nine million, nine hundred fifteen thousand, three hundred seventy-six".