149738640 has 80 divisors (see below), whose sum is σ = 469844928. Its totient is φ = 39443968.

The previous prime is 149738623. The next prime is 149738647. The reversal of 149738640 is 46837941.

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

It is a junction number, because it is equal to n+sod(n) for n = 149738592 and 149738601.

It is not an unprimeable number, because it can be changed into a prime (149738647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16162 + ... + 23678.

Almost surely, 2^149738640 is an apocalyptic number.

149738640 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 149738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234922464).

149738640 is an abundant number, since it is smaller than the sum of its proper divisors (320106288).

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

149738640 is a wasteful number, since it uses less digits than its factorization.

149738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 149738640 is about 12236.7740847006. The cubic root of 149738640 is about 531.0205091365.

The spelling of 149738640 in words is "one hundred forty-nine million, seven hundred thirty-eight thousand, six hundred forty".