149909940 has 240 divisors, whose sum is σ = 502874064. Its totient is φ = 37324800.

The previous prime is 149909891. The next prime is 149909941. The reversal of 149909940 is 49909941.

It can be written as a sum of positive squares in 8 ways, for example, as 25765776 + 124144164 = 5076^2 + 11142^2 .

It is a super-2 number, since 2×149909940² = 44945980221607200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149909941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2457510 + ... + 2457570.

Almost surely, 2^149909940 is an apocalyptic number.

149909940 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 149909940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251437032).

149909940 is an abundant number, since it is smaller than the sum of its proper divisors (352964124).

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

149909940 is a wasteful number, since it uses less digits than its factorization.

149909940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 149909940 is about 12243.7714777760. The cubic root of 149909940 is about 531.2229266019. Note that the first 3 decimals are identical.

Subtracting from 149909940 its reverse (49909941), we obtain a palindrome (99999999).

The spelling of 149909940 in words is "one hundred forty-nine million, nine hundred nine thousand, nine hundred forty".