152586990 has 64 divisors (see below), whose sum is σ = 411981120. Its totient is φ = 40684032.

The previous prime is 152586983. The next prime is 152586997. The reversal of 152586990 is 99685251.

It is an interprime number because it is at equal distance from previous prime (152586983) and next prime (152586997).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152586997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18382 + ... + 25358.

It is an arithmetic number, because the mean of its divisors is an integer number (6437205).

Almost surely, 2^152586990 is an apocalyptic number.

152586990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152586990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205990560).

152586990 is an abundant number, since it is smaller than the sum of its proper divisors (259394130).

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

152586990 is an frugal number, since it uses more digits than its factorization.

152586990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 152586990 is about 12352.6106552421. The cubic root of 152586990 is about 534.3664319956.

The spelling of 152586990 in words is "one hundred fifty-two million, five hundred eighty-six thousand, nine hundred ninety".