126537152 has 84 divisors (see below), whose sum is σ = 297551856. Its totient is φ = 52270080.

The previous prime is 126537107. The next prime is 126537157. The reversal of 126537152 is 251735621.

It is a super-2 number, since 2×126537152² = 32023301672542208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126537157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1524503 + ... + 1524585.

It is an arithmetic number, because the mean of its divisors is an integer number (3542284).

Almost surely, 2^126537152 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 126537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148775928).

126537152 is an abundant number, since it is smaller than the sum of its proper divisors (171014704).

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

126537152 is an frugal number, since it uses more digits than its factorization.

126537152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 133 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 126537152 is about 11248.8733658087. The cubic root of 126537152 is about 502.0411917332.

The spelling of 126537152 in words is "one hundred twenty-six million, five hundred thirty-seven thousand, one hundred fifty-two".