149636880 has 240 divisors, whose sum is σ = 532559664. Its totient is φ = 37601280.

The previous prime is 149636867. The next prime is 149636911. The reversal of 149636880 is 88636941.

149636880 is a `hidden beast` number, since 1 + 4 + 9 + 636 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 992016 + 148644864 = 996^2 + 12192^2 .

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

It is a super-2 number, since 2×149636880² = 44782391712268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092172 + ... + 1092308.

Almost surely, 2^149636880 is an apocalyptic number.

149636880 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 149636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266279832).

149636880 is an abundant number, since it is smaller than the sum of its proper divisors (382922784).

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

149636880 is a wasteful number, since it uses less digits than its factorization.

149636880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 149636880 is about 12232.6154194432. The cubic root of 149636880 is about 530.9001908441.

The spelling of 149636880 in words is "one hundred forty-nine million, six hundred thirty-six thousand, eight hundred eighty".