128137152 has 168 divisors, whose sum is σ = 401604480. Its totient is φ = 35742720.

The previous prime is 128137151. The next prime is 128137157. The reversal of 128137152 is 251731821.

It is a super-2 number, since 2×128137152² = 32838259445342208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128137151) 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, 356749 + ... + 357107.

Almost surely, 2^128137152 is an apocalyptic number.

128137152 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 128137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200802240).

128137152 is an abundant number, since it is smaller than the sum of its proper divisors (273467328).

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

128137152 is a wasteful number, since it uses less digits than its factorization.

128137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 388 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 128137152 is about 11319.7681955065. The cubic root of 128137152 is about 504.1483564266.

Adding to 128137152 its reverse (251731821), we get a palindrome (379868973).

The spelling of 128137152 in words is "one hundred twenty-eight million, one hundred thirty-seven thousand, one hundred fifty-two".