149761872 has 120 divisors (see below), whose sum is σ = 468240864. Its totient is φ = 46065024.

The previous prime is 149761861. The next prime is 149761873. The reversal of 149761872 is 278167941.

It is a happy number.

149761872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149761873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49063 + ... + 52025.

Almost surely, 2^149761872 is an apocalyptic number.

149761872 is a gapful number since it is divisible by the number (12) 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 149761872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120432).

149761872 is an abundant number, since it is smaller than the sum of its proper divisors (318478992).

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

149761872 is a wasteful number, since it uses less digits than its factorization.

149761872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 149761872 is about 12237.7233176764. The cubic root of 149761872 is about 531.0479703861.

The spelling of 149761872 in words is "one hundred forty-nine million, seven hundred sixty-one thousand, eight hundred seventy-two".