151869000 has 256 divisors, whose sum is σ = 517570560. Its totient is φ = 36960000.

The previous prime is 151868993. The next prime is 151869017. The reversal of 151869000 is 968151.

It is a happy number.

It is a super-2 number, since 2×151869000² = 46128386322000000, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2138965 + ... + 2139035.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 2^151869000 is an apocalyptic number.

151869000 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 151869000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258785280).

151869000 is an abundant number, since it is smaller than the sum of its proper divisors (365701560).

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

151869000 is a wasteful number, since it uses less digits than its factorization.

151869000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 151869000 is about 12323.5141092141. The cubic root of 151869000 is about 533.5269696189.

The spelling of 151869000 in words is "one hundred fifty-one million, eight hundred sixty-nine thousand".