151115040 has 144 divisors (see below), whose sum is σ = 546102648. Its totient is φ = 37920768.

The previous prime is 151115033. The next prime is 151115059. The reversal of 151115040 is 40511151.

It is a happy number.

151115040 is a `hidden beast` number, since 1 + 511 + 150 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93779856 + 57335184 = 9684^2 + 7572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21394 + ... + 27566.

Almost surely, 2^151115040 is an apocalyptic number.

151115040 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 151115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273051324).

151115040 is an abundant number, since it is smaller than the sum of its proper divisors (394987608).

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

151115040 is a wasteful number, since it uses less digits than its factorization.

151115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151115040 is about 12292.8857474557. The cubic root of 151115040 is about 532.6425988528.

Adding to 151115040 its reverse (40511151), we get a palindrome (191626191).

The spelling of 151115040 in words is "one hundred fifty-one million, one hundred fifteen thousand, forty".