152086440 has 192 divisors, whose sum is σ = 519255360. Its totient is φ = 35338240.

The previous prime is 152086439. The next prime is 152086447. The reversal of 152086440 is 44680251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152086398 and 152086407.

It is not an unprimeable number, because it can be changed into a prime (152086447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110052 + ... + 1110188.

It is an arithmetic number, because the mean of its divisors is an integer number (2704455).

Almost surely, 2^152086440 is an apocalyptic number.

152086440 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 152086440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259627680).

152086440 is an abundant number, since it is smaller than the sum of its proper divisors (367168920).

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

152086440 is a wasteful number, since it uses less digits than its factorization.

152086440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 152086440 is about 12332.3331125947. Note that the first 3 decimals coincide. The cubic root of 152086440 is about 533.7814757658.

The spelling of 152086440 in words is "one hundred fifty-two million, eighty-six thousand, four hundred forty".