152135010 has 112 divisors (see below), whose sum is σ = 421417080. Its totient is φ = 39502080.

The previous prime is 152135003. The next prime is 152135029. The reversal of 152135010 is 10531251.

152135010 is a `hidden beast` number, since 152 + 13 + 501 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106936281 + 45198729 = 10341^2 + 6723^2 .

It is a super-2 number, since 2×152135010² = 46290122535400200, which contains 22 as substring.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 298636 + ... + 299144.

Almost surely, 2^152135010 is an apocalyptic number.

152135010 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 152135010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210708540).

152135010 is an abundant number, since it is smaller than the sum of its proper divisors (269282070).

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

152135010 is an equidigital number, since it uses as much as digits as its factorization.

152135010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 152135010 is about 12334.3021691541. The cubic root of 152135010 is about 533.8382921545.

Adding to 152135010 its reverse (10531251), we get a palindrome (162666261).

The spelling of 152135010 in words is "one hundred fifty-two million, one hundred thirty-five thousand, ten".