149682000 has 320 divisors, whose sum is σ = 552464640. Its totient is φ = 34560000.

The previous prime is 149681993. The next prime is 149682023. The reversal of 149682000 is 286941.

It is a super-2 number, since 2×149682000² = 44809402248000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481950 + ... + 1482050.

It is an arithmetic number, because the mean of its divisors is an integer number (1726452).

Almost surely, 2^149682000 is an apocalyptic number.

149682000 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 149682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276232320).

149682000 is an abundant number, since it is smaller than the sum of its proper divisors (402782640).

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

149682000 is a wasteful number, since it uses less digits than its factorization.

149682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149682000 is about 12234.4595303593. The cubic root of 149682000 is about 530.9535462499.

The spelling of 149682000 in words is "one hundred forty-nine million, six hundred eighty-two thousand".