151162440 has 256 divisors, whose sum is σ = 557383680. Its totient is φ = 32271360.

The previous prime is 151162439. The next prime is 151162441. The reversal of 151162440 is 44261151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151162439) and next prime (151162441).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151162440.

It is not an unprimeable number, because it can be changed into a prime (151162441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394489 + ... + 394871.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^151162440 is an apocalyptic number.

151162440 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 151162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

151162440 is an abundant number, since it is smaller than the sum of its proper divisors (406221240).

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

151162440 is a wasteful number, since it uses less digits than its factorization.

151162440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 151162440 is about 12294.8135406764. The cubic root of 151162440 is about 532.6982840665.

The spelling of 151162440 in words is "one hundred fifty-one million, one hundred sixty-two thousand, four hundred forty".