126552540 has 96 divisors (see below), whose sum is σ = 385136640. Its totient is φ = 30931200.

The previous prime is 126552533. The next prime is 126552541. The reversal of 126552540 is 45255621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126552498 and 126552507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126552541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33550 + ... + 37130.

It is an arithmetic number, because the mean of its divisors is an integer number (4011840).

Almost surely, 2^126552540 is an apocalyptic number.

126552540 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 126552540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192568320).

126552540 is an abundant number, since it is smaller than the sum of its proper divisors (258584100).

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

126552540 is a wasteful number, since it uses less digits than its factorization.

126552540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3643 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 126552540 is about 11249.5573246239. The cubic root of 126552540 is about 502.0615417427.

The spelling of 126552540 in words is "one hundred twenty-six million, five hundred fifty-two thousand, five hundred forty".