151799040 has 108 divisors (see below), whose sum is σ = 525248724. Its totient is φ = 40476672.

The previous prime is 151799009. The next prime is 151799077. The reversal of 151799040 is 40997151.

It can be written as a sum of positive squares in 2 ways, for example, as 76317696 + 75481344 = 8736^2 + 8688^2 .

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 = 151798986 and 151799004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4932 + ... + 18108.

Almost surely, 2^151799040 is an apocalyptic number.

151799040 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 151799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262624362).

151799040 is an abundant number, since it is smaller than the sum of its proper divisors (373449684).

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

151799040 is a wasteful number, since it uses less digits than its factorization.

151799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 151799040 is about 12320.6753061673. The cubic root of 151799040 is about 533.4450321602.

The spelling of 151799040 in words is "one hundred fifty-one million, seven hundred ninety-nine thousand, forty".