149688000 has 672 divisors, whose sum is σ = 692310528. Its totient is φ = 31104000.

The previous prime is 149687969. The next prime is 149688017. The reversal of 149688000 is 886941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607995 + ... + 13608005.

It is an arithmetic number, because the mean of its divisors is an integer number (1030224).

Almost surely, 2^149688000 is an apocalyptic number.

149688000 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 149688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346155264).

149688000 is an abundant number, since it is smaller than the sum of its proper divisors (542622528).

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

149688000 is an equidigital number, since it uses as much as digits as its factorization.

149688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149688000 is about 12234.7047369358. The cubic root of 149688000 is about 530.9606405759.

The spelling of 149688000 in words is "one hundred forty-nine million, six hundred eighty-eight thousand".