151359840 has 288 divisors, whose sum is σ = 569630880. Its totient is φ = 37822464.

The previous prime is 151359821. The next prime is 151359841. The reversal of 151359840 is 48953151.

151359840 is a `hidden beast` number, since 15 + 13 + 598 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151359795 and 151359804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151359841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660846 + ... + 661074.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^151359840 is an apocalyptic number.

151359840 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 151359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284815440).

151359840 is an abundant number, since it is smaller than the sum of its proper divisors (418271040).

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

151359840 is a wasteful number, since it uses less digits than its factorization.

151359840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 151359840 is about 12302.8386968212. The cubic root of 151359840 is about 532.9300632072.

The spelling of 151359840 in words is "one hundred fifty-one million, three hundred fifty-nine thousand, eight hundred forty".