149528736 has 144 divisors (see below), whose sum is σ = 514672704. Its totient is φ = 40200192.

The previous prime is 149528723. The next prime is 149528767. The reversal of 149528736 is 637825941.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 149528691 and 149528700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32091 + ... + 36453.

It is an arithmetic number, because the mean of its divisors is an integer number (3574116).

Almost surely, 2^149528736 is an apocalyptic number.

149528736 is a gapful number since it is divisible by the number (16) 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 149528736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257336352).

149528736 is an abundant number, since it is smaller than the sum of its proper divisors (365143968).

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

149528736 is a wasteful number, since it uses less digits than its factorization.

149528736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4392 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 149528736 is about 12228.1943066014. The cubic root of 149528736 is about 530.7722644778.

The spelling of 149528736 in words is "one hundred forty-nine million, five hundred twenty-eight thousand, seven hundred thirty-six".