127153152 has 264 divisors, whose sum is σ = 441103936. Its totient is φ = 35831808.

The previous prime is 127153121. The next prime is 127153153. The reversal of 127153152 is 251351721.

127153152 is a `hidden beast` number, since 12 + 71 + 531 + 52 = 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 (127153153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741788 + ... + 1741860.

Almost surely, 2^127153152 is an apocalyptic number.

127153152 is a gapful number since it is divisible by the number (12) 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 127153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220551968).

127153152 is an abundant number, since it is smaller than the sum of its proper divisors (313950784).

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

127153152 is an frugal number, since it uses more digits than its factorization.

127153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 127153152 is about 11276.2206434603. The cubic root of 127153152 is about 502.8545415056.

The spelling of 127153152 in words is "one hundred twenty-seven million, one hundred fifty-three thousand, one hundred fifty-two".