152727120 has 600 divisors, whose sum is σ = 682471944. Its totient is φ = 31352832.

The previous prime is 152727119. The next prime is 152727121. The reversal of 152727120 is 21727251.

It is an interprime number because it is at equal distance from previous prime (152727119) and next prime (152727121).

It can be written as a sum of positive squares in 4 ways, for example, as 18352656 + 134374464 = 4284^2 + 11592^2 .

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 (152727121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4127742 + ... + 4127778.

Almost surely, 2^152727120 is an apocalyptic number.

152727120 is a gapful number since it is divisible by the number (10) 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 152727120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341235972).

152727120 is an abundant number, since it is smaller than the sum of its proper divisors (529744824).

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

152727120 is a wasteful number, since it uses less digits than its factorization.

152727120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 152727120 is about 12358.2814339211. The cubic root of 152727120 is about 534.5299624453.

The spelling of 152727120 in words is "one hundred fifty-two million, seven hundred twenty-seven thousand, one hundred twenty".