127613152 has 36 divisors (see below), whose sum is σ = 266905800. Its totient is φ = 60048896.

The previous prime is 127613149. The next prime is 127613173. The reversal of 127613152 is 251316721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 127613152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2349 + ... + 16147.

It is an arithmetic number, because the mean of its divisors is an integer number (7414050).

Almost surely, 2^127613152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133452900).

127613152 is an abundant number, since it is smaller than the sum of its proper divisors (139292648).

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

127613152 is a wasteful number, since it uses less digits than its factorization.

127613152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13843 (or 13818 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 127613152 is about 11296.5991342528. The cubic root of 127613152 is about 503.4602014400.

Adding to 127613152 its reverse (251316721), we get a palindrome (378929873).

It can be divided in two parts, 127613 and 152, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 127613152 in words is "one hundred twenty-seven million, six hundred thirteen thousand, one hundred fifty-two".