149771520 has 108 divisors (see below), whose sum is σ = 518233716. Its totient is φ = 39936000.

The previous prime is 149771507. The next prime is 149771521. The reversal of 149771520 is 25177941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20358144 + 129413376 = 4512^2 + 11376^2 .

It is a super-2 number, since 2×149771520² = 44863016406220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149771521) 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 11 ways as a sum of consecutive naturals, for example, 5020 + ... + 18020.

Almost surely, 2^149771520 is an apocalyptic number.

149771520 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 149771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259116858).

149771520 is an abundant number, since it is smaller than the sum of its proper divisors (368462196).

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

149771520 is a wasteful number, since it uses less digits than its factorization.

149771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149771520 is about 12238.1175022958. The cubic root of 149771520 is about 531.0593739135.

The spelling of 149771520 in words is "one hundred forty-nine million, seven hundred seventy-one thousand, five hundred twenty".