149815072 has 48 divisors (see below), whose sum is σ = 330486912. Its totient is φ = 66251520.

The previous prime is 149815063. The next prime is 149815097. The reversal of 149815072 is 270518941.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7273 + ... + 18775.

It is an arithmetic number, because the mean of its divisors is an integer number (6885144).

Almost surely, 2^149815072 is an apocalyptic number.

149815072 is the 6543-rd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149815072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165243456).

149815072 is an abundant number, since it is smaller than the sum of its proper divisors (180671840).

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

149815072 is a wasteful number, since it uses less digits than its factorization.

149815072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11561 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 149815072 is about 12239.8967315905. The cubic root of 149815072 is about 531.1108444386.

The spelling of 149815072 in words is "one hundred forty-nine million, eight hundred fifteen thousand, seventy-two".