152603136 has 320 divisors, whose sum is σ = 549964800. Its totient is φ = 40808448.

The previous prime is 152603131. The next prime is 152603147. The reversal of 152603136 is 631306251.

152603136 is a `hidden beast` number, since 1 + 52 + 603 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152603131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1838551 + ... + 1838633.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^152603136 is an apocalyptic number.

152603136 is a gapful number since it is divisible by the number (16) 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 152603136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

152603136 is an abundant number, since it is smaller than the sum of its proper divisors (397361664).

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

152603136 is an equidigital number, since it uses as much as digits as its factorization.

152603136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 152603136 is about 12353.2641840123. The cubic root of 152603136 is about 534.3852793344.

Adding to 152603136 its reverse (631306251), we get a palindrome (783909387).

The spelling of 152603136 in words is "one hundred fifty-two million, six hundred three thousand, one hundred thirty-six".