126528500 has 48 divisors (see below), whose sum is σ = 315823872. Its totient is φ = 43380000.

The previous prime is 126528499. The next prime is 126528517. The reversal of 126528500 is 5825621.

It is a super-2 number, since 2×126528500² = 32018922624500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14576 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (6579664).

Almost surely, 2^126528500 is an apocalyptic number.

126528500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126528500 is an abundant number, since it is smaller than the sum of its proper divisors (189295372).

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

126528500 is a wasteful number, since it uses less digits than its factorization.

126528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36177 (or 36165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 126528500 is about 11248.4887873883. The cubic root of 126528500 is about 502.0297490875.

The spelling of 126528500 in words is "one hundred twenty-six million, five hundred twenty-eight thousand, five hundred".