149934000 has 80 divisors (see below), whose sum is σ = 483406560. Its totient is φ = 39980800.

The previous prime is 149933983. The next prime is 149934017. The reversal of 149934000 is 439941.

It is an interprime number because it is at equal distance from previous prime (149933983) and next prime (149934017).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6495 + ... + 18494.

It is an arithmetic number, because the mean of its divisors is an integer number (6042582).

Almost surely, 2^149934000 is an apocalyptic number.

149934000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149934000 is an abundant number, since it is smaller than the sum of its proper divisors (333472560).

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

149934000 is a wasteful number, since it uses less digits than its factorization.

149934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25015 (or 24999 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 149934000 is about 12244.7539787453. The cubic root of 149934000 is about 531.2513448640.

The spelling of 149934000 in words is "one hundred forty-nine million, nine hundred thirty-four thousand".