149520 has 80 divisors (see below), whose sum is σ = 535680. Its totient is φ = 33792.

The previous prime is 149519. The next prime is 149521. The reversal of 149520 is 25941.

It is an interprime number because it is at equal distance from previous prime (149519) and next prime (149521).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149520.

It is not an unprimeable number, because it can be changed into a prime (149521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2¹⁴⁹⁵²⁰ is an apocalyptic number.

149520 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 149520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

149520 is an abundant number, since it is smaller than the sum of its proper divisors (386160).

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

149520 is a wasteful number, since it uses less digits than its factorization.

149520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 149520 is about 386.6781607487. The cubic root of 149520 is about 53.0761927743.

The spelling of 149520 in words is "one hundred forty-nine thousand, five hundred twenty".