127233700 has 144 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 42908800.

The previous prime is 127233649. The next prime is 127233707. The reversal of 127233700 is 7332721.

127233700 = T₃₈₄ + T₃₈₅ + ... + T₉₃₅.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (127233707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189047 + ... + 1189153.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^127233700 is an apocalyptic number.

127233700 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 127233700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

127233700 is an abundant number, since it is smaller than the sum of its proper divisors (196745564).

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

127233700 is a wasteful number, since it uses less digits than its factorization.

127233700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 127233700 is about 11279.7916647427. The cubic root of 127233700 is about 502.9607005673.

The spelling of 127233700 in words is "one hundred twenty-seven million, two hundred thirty-three thousand, seven hundred".