151564840 has 64 divisors (see below), whose sum is σ = 397728000. Its totient is φ = 51960384.

The previous prime is 151564837. The next prime is 151564841. The reversal of 151564840 is 48465151.

It is a junction number, because it is equal to n+sod(n) for n = 151564796 and 151564805.

It is not an unprimeable number, because it can be changed into a prime (151564841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8197 + ... + 19243.

It is an arithmetic number, because the mean of its divisors is an integer number (6214500).

Almost surely, 2^151564840 is an apocalyptic number.

151564840 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 151564840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198864000).

151564840 is an abundant number, since it is smaller than the sum of its proper divisors (246163160).

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

151564840 is a wasteful number, since it uses less digits than its factorization.

151564840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079 (or 11061 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 151564840 is about 12311.1672882794. The cubic root of 151564840 is about 533.1705527528.

The spelling of 151564840 in words is "one hundred fifty-one million, five hundred sixty-four thousand, eight hundred forty".