126537040 has 160 divisors (see below), whose sum is σ = 358262784. Its totient is φ = 40642560.

The previous prime is 126537011. The next prime is 126537043. The reversal of 126537040 is 40735621.

126537040 = T₂₆₉ + T₂₇₀ + ... + T₉₁₉.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126537043) 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 31 ways as a sum of consecutive naturals, for example, 642222 + ... + 642418.

Almost surely, 2^126537040 is an apocalyptic number.

126537040 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 126537040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

126537040 is an abundant number, since it is smaller than the sum of its proper divisors (231725744).

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

126537040 is a wasteful number, since it uses less digits than its factorization.

126537040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 126537040 is about 11248.8683875313. The cubic root of 126537040 is about 502.0410436117.

It can be divided in two parts, 126 and 537040, that added together give a triangular number (537166 = T₁₀₃₆).

The spelling of 126537040 in words is "one hundred twenty-six million, five hundred thirty-seven thousand, forty".