149415936 has 96 divisors (see below), whose sum is σ = 404520480. Its totient is φ = 49037312.

The previous prime is 149415923. The next prime is 149415949. The reversal of 149415936 is 639514941.

It is an interprime number because it is at equal distance from previous prime (149415923) and next prime (149415949).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 509806 + ... + 510098.

It is an arithmetic number, because the mean of its divisors is an integer number (4213755).

Almost surely, 2^149415936 is an apocalyptic number.

149415936 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 149415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202260240).

149415936 is an abundant number, since it is smaller than the sum of its proper divisors (255104544).

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

149415936 is an equidigital number, since it uses as much as digits as its factorization.

149415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 149415936 is about 12223.5811446564. The cubic root of 149415936 is about 530.6387646696.

The spelling of 149415936 in words is "one hundred forty-nine million, four hundred fifteen thousand, nine hundred thirty-six".