149934720 has 128 divisors (see below), whose sum is σ = 514765440. Its totient is φ = 36900864.

The previous prime is 149934703. The next prime is 149934737. The reversal of 149934720 is 27439941.

It is an interprime number because it is at equal distance from previous prime (149934703) and next prime (149934737).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×149934720² = 44960840522956800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21957 + ... + 27963.

It is an arithmetic number, because the mean of its divisors is an integer number (4021605).

Almost surely, 2^149934720 is an apocalyptic number.

149934720 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 149934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257382720).

149934720 is an abundant number, since it is smaller than the sum of its proper divisors (364830720).

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

149934720 is a wasteful number, since it uses less digits than its factorization.

149934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 149934720 is about 12244.7833790558. The cubic root of 149934720 is about 531.2521952389.

The spelling of 149934720 in words is "one hundred forty-nine million, nine hundred thirty-four thousand, seven hundred twenty".