125534838 has 96 divisors (see below), whose sum is σ = 304593408. Its totient is φ = 34246080.

The previous prime is 125534833. The next prime is 125534863. The reversal of 125534838 is 838435521.

125534838 = T₄₇₇₂ + T₄₇₇₃ + ... + T₄₇₈₂.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 125534796 and 125534805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125534833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443445 + ... + 443727.

It is an arithmetic number, because the mean of its divisors is an integer number (3172848).

Almost surely, 2^125534838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125534838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152296704).

125534838 is an abundant number, since it is smaller than the sum of its proper divisors (179058570).

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

125534838 is a wasteful number, since it uses less digits than its factorization.

125534838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 125534838 is about 11204.2330393472. The cubic root of 125534838 is about 500.7121026714.

It can be divided in two parts, 12553 and 4838, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 125534838 in words is "one hundred twenty-five million, five hundred thirty-four thousand, eight hundred thirty-eight".