149909760 has 648 divisors, whose sum is σ = 700225344. Its totient is φ = 28753920.

The previous prime is 149909741. The next prime is 149909779. The reversal of 149909760 is 67909941.

It is an interprime number because it is at equal distance from previous prime (149909741) and next prime (149909779).

It is a super-2 number, since 2×149909760² = 44945872286515200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11531514 + ... + 11531526.

Almost surely, 2^149909760 is an apocalyptic number.

149909760 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 149909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350112672).

149909760 is an abundant number, since it is smaller than the sum of its proper divisors (550315584).

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

149909760 is a wasteful number, since it uses less digits than its factorization.

149909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 149909760 is about 12243.7641270975. The cubic root of 149909760 is about 531.2227139850. Note that the first 3 decimals are identical.

It can be divided in two parts, 149 and 909760, that added together give a palindrome (909909).

The spelling of 149909760 in words is "one hundred forty-nine million, nine hundred nine thousand, seven hundred sixty".