126132552 has 384 divisors, whose sum is σ = 469647360. Its totient is φ = 30792960.

The previous prime is 126132551. The next prime is 126132557. The reversal of 126132552 is 255231621.

It is a happy number.

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 (126132551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4068777 + ... + 4068807.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 2^126132552 is an apocalyptic number.

126132552 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 126132552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

126132552 is an abundant number, since it is smaller than the sum of its proper divisors (343514808).

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

126132552 is a wasteful number, since it uses less digits than its factorization.

126132552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 126132552 is about 11230.8749436542. The cubic root of 126132552 is about 501.5055315330.

The spelling of 126132552 in words is "one hundred twenty-six million, one hundred thirty-two thousand, five hundred fifty-two".