152711136 has 192 divisors, whose sum is σ = 486077760. Its totient is φ = 46448640.

The previous prime is 152711123. The next prime is 152711147. The reversal of 152711136 is 631117251.

152711136 is a `hidden beast` number, since 1 + 527 + 1 + 1 + 136 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 543316 + ... + 543596.

It is an arithmetic number, because the mean of its divisors is an integer number (2531655).

Almost surely, 2^152711136 is an apocalyptic number.

152711136 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 152711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243038880).

152711136 is an abundant number, since it is smaller than the sum of its proper divisors (333366624).

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

152711136 is a wasteful number, since it uses less digits than its factorization.

152711136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 152711136 is about 12357.6347251406. The cubic root of 152711136 is about 534.5113143165.

Adding to 152711136 its reverse (631117251), we get a palindrome (783828387).

The spelling of 152711136 in words is "one hundred fifty-two million, seven hundred eleven thousand, one hundred thirty-six".