149281920 has 256 divisors, whose sum is σ = 541987200. Its totient is φ = 38817792.

The previous prime is 149281877. The next prime is 149281921. The reversal of 149281920 is 29182941.

149281920 is a `hidden beast` number, since 1 + 492 + 81 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (149281921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915759 + ... + 915921.

Almost surely, 2^149281920 is an apocalyptic number.

149281920 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 149281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270993600).

149281920 is an abundant number, since it is smaller than the sum of its proper divisors (392705280).

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

149281920 is a wasteful number, since it uses less digits than its factorization.

149281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 149281920 is about 12218.0980516609. The cubic root of 149281920 is about 530.4800681729.

The spelling of 149281920 in words is "one hundred forty-nine million, two hundred eighty-one thousand, nine hundred twenty".