149076000 has 288 divisors, whose sum is σ = 547340976. Its totient is φ = 38400000.

The previous prime is 149075999. The next prime is 149076013. The reversal of 149076000 is 670941.

It can be written as a sum of positive squares in 8 ways, for example, as 5363856 + 143712144 = 2316^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475950 + ... + 1476050.

Almost surely, 2^149076000 is an apocalyptic number.

149076000 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 149076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273670488).

149076000 is an abundant number, since it is smaller than the sum of its proper divisors (398264976).

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

149076000 is a wasteful number, since it uses less digits than its factorization.

149076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149076000 is about 12209.6683001628. The cubic root of 149076000 is about 530.2360405835.

The spelling of 149076000 in words is "one hundred forty-nine million, seventy-six thousand".