151864020 has 144 divisors (see below), whose sum is σ = 574374528. Its totient is φ = 31553280.

The previous prime is 151864019. The next prime is 151864051. The reversal of 151864020 is 20468151.

151864020 is a `hidden beast` number, since 1 + 5 + 18 + 640 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 8382 + ... + 19338.

It is an arithmetic number, because the mean of its divisors is an integer number (3988712).

Almost surely, 2^151864020 is an apocalyptic number.

151864020 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 151864020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287187264).

151864020 is an abundant number, since it is smaller than the sum of its proper divisors (422510508).

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

151864020 is a wasteful number, since it uses less digits than its factorization.

151864020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 151864020 is about 12323.3120548009. The cubic root of 151864020 is about 533.5211378530.

The spelling of 151864020 in words is "one hundred fifty-one million, eight hundred sixty-four thousand, twenty".