149294880 has 192 divisors, whose sum is σ = 597300480. Its totient is φ = 34117632.

The previous prime is 149294879. The next prime is 149294881. The reversal of 149294880 is 88492941.

149294880 is a `hidden beast` number, since 149 + 29 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149294879) and next prime (149294881).

It is a super-2 number, since 2×149294880² = 44577922388428800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (149294881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27772 + ... + 32708.

It is an arithmetic number, because the mean of its divisors is an integer number (3110940).

Almost surely, 2^149294880 is an apocalyptic number.

149294880 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 149294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298650240).

149294880 is an abundant number, since it is smaller than the sum of its proper divisors (448005600).

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

149294880 is a wasteful number, since it uses less digits than its factorization.

149294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 149294880 is about 12218.6284009295. The cubic root of 149294880 is about 530.4954190444.

The spelling of 149294880 in words is "one hundred forty-nine million, two hundred ninety-four thousand, eight hundred eighty".