149729520 has 80 divisors (see below), whose sum is σ = 468353952. Its totient is φ = 39567360.

The previous prime is 149729513. The next prime is 149729521. The reversal of 149729520 is 25927941.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149729521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24360 + ... + 29880.

Almost surely, 2^149729520 is an apocalyptic number.

149729520 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 149729520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234176976).

149729520 is an abundant number, since it is smaller than the sum of its proper divisors (318624432).

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

149729520 is a wasteful number, since it uses less digits than its factorization.

149729520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 149729520 is about 12236.4014317936. The cubic root of 149729520 is about 531.0097281175.

It can be divided in two parts, 1497295 and 20, that added together give a triangular number (1497315 = T₁₇₃₀).

The spelling of 149729520 in words is "one hundred forty-nine million, seven hundred twenty-nine thousand, five hundred twenty".