151089840 has 160 divisors (see below), whose sum is σ = 567820800. Its totient is φ = 36622080.

The previous prime is 151089823. The next prime is 151089893. The reversal of 151089840 is 48980151.

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 = 151089795 and 151089804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20581 + ... + 26939.

It is an arithmetic number, because the mean of its divisors is an integer number (3548880).

Almost surely, 2^151089840 is an apocalyptic number.

151089840 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 151089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283910400).

151089840 is an abundant number, since it is smaller than the sum of its proper divisors (416730960).

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

151089840 is a wasteful number, since it uses less digits than its factorization.

151089840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 151089840 is about 12291.8607216320. The cubic root of 151089840 is about 532.6129893145.

The spelling of 151089840 in words is "one hundred fifty-one million, eighty-nine thousand, eight hundred forty".