152056323136 has 63 divisors (see below), whose sum is σ = 306100676469. Its totient is φ = 74944117248.

The previous prime is 152056323131. The next prime is 152056323179. The reversal of 152056323136 is 631323650251.

The square root of 152056323136 is 389944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4403649600 + 147652673536 = 66360^2 + 384256^2 .

It is a super-2 number, since 2×152056323136² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152056323095 and 152056323104.

It is not an unprimeable number, because it can be changed into a prime (152056323131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 246444300 + ... + 246444916.

Almost surely, 2^152056323136 is an apocalyptic number.

152056323136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152056323136 is the 389944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152056323136

152056323136 is an abundant number, since it is smaller than the sum of its proper divisors (154044353333).

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

152056323136 is an frugal number, since it uses more digits than its factorization.

152056323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 152056323136 its reverse (631323650251), we get a palindrome (783379973387).

The spelling of 152056323136 in words is "one hundred fifty-two billion, fifty-six million, three hundred twenty-three thousand, one hundred thirty-six".