149956920 has 160 divisors (see below), whose sum is σ = 520629120. Its totient is φ = 38672640.

The previous prime is 149956909. The next prime is 149956927. The reversal of 149956920 is 29659941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149956927) 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 39 ways as a sum of consecutive naturals, for example, 99694 + ... + 101186.

It is an arithmetic number, because the mean of its divisors is an integer number (3253932).

Almost surely, 2^149956920 is an apocalyptic number.

149956920 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 149956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260314560).

149956920 is an abundant number, since it is smaller than the sum of its proper divisors (370672200).

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

149956920 is a wasteful number, since it uses less digits than its factorization.

149956920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 149956920 is about 12245.6898539854. The cubic root of 149956920 is about 531.2784137975.

The spelling of 149956920 in words is "one hundred forty-nine million, nine hundred fifty-six thousand, nine hundred twenty".