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149132880 = 243351347113
BaseRepresentation
bin10001110001110…
…01011001010000
3101101121201212000
420320321121100
5301134223010
622444234000
73460415511
oct1070713120
9341551760
10149132880
11771aa816
1241b3b900
1324b87310
1415b40a08
15d15c7c0
hex8e39650

149132880 has 320 divisors, whose sum is σ = 569963520. Its totient is φ = 35610624.

The previous prime is 149132869. The next prime is 149132899. The reversal of 149132880 is 88231941.

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 63 ways as a sum of consecutive naturals, for example, 1319704 + ... + 1319816.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2149132880 is an apocalyptic number.

149132880 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 149132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

149132880 is an abundant number, since it is smaller than the sum of its proper divisors (420830640).

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

149132880 is a wasteful number, since it uses less digits than its factorization.

149132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149132880 is about 12211.9973796263. The cubic root of 149132880 is about 530.3034692574.

The spelling of 149132880 in words is "one hundred forty-nine million, one hundred thirty-two thousand, eight hundred eighty".