149526720 has 168 divisors, whose sum is σ = 587861664. Its totient is φ = 34172928.

The previous prime is 149526701. The next prime is 149526721. The reversal of 149526720 is 27625941.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149526721) 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 23 ways as a sum of consecutive naturals, for example, 16452 + ... + 23868.

Almost surely, 2^149526720 is an apocalyptic number.

149526720 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 149526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293930832).

149526720 is an abundant number, since it is smaller than the sum of its proper divisors (438334944).

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

149526720 is a wasteful number, since it uses less digits than its factorization.

149526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7447 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149526720 is about 12228.1118738749. Note that the first 3 decimals coincide. The cubic root of 149526720 is about 530.7698791132.

The spelling of 149526720 in words is "one hundred forty-nine million, five hundred twenty-six thousand, seven hundred twenty".