149778720 has 480 divisors, whose sum is σ = 655699968. Its totient is φ = 31352832.

The previous prime is 149778709. The next prime is 149778731. The reversal of 149778720 is 27877941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149778709) and next prime (149778731).

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1179297 + ... + 1179423.

Almost surely, 2^149778720 is an apocalyptic number.

149778720 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 149778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327849984).

149778720 is an abundant number, since it is smaller than the sum of its proper divisors (505921248).

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

149778720 is a wasteful number, since it uses less digits than its factorization.

149778720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 149778720 is about 12238.4116616496. The cubic root of 149778720 is about 531.0678836894.

The spelling of 149778720 in words is "one hundred forty-nine million, seven hundred seventy-eight thousand, seven hundred twenty".