125377540 has 24 divisors (see below), whose sum is σ = 265066200. Its totient is φ = 49813248.

The previous prime is 125377517. The next prime is 125377543. The reversal of 125377540 is 45773521.

It can be written as a sum of positive squares in 4 ways, for example, as 5080516 + 120297024 = 2254^2 + 10968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125377496 and 125377505.

It is not an unprimeable number, because it can be changed into a prime (125377543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18057 + ... + 24016.

It is an arithmetic number, because the mean of its divisors is an integer number (11044425).

Almost surely, 2^125377540 is an apocalyptic number.

125377540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125377540 is an abundant number, since it is smaller than the sum of its proper divisors (139688660).

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

125377540 is a wasteful number, since it uses less digits than its factorization.

125377540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42231 (or 42229 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 125377540 is about 11197.2112599522. The cubic root of 125377540 is about 500.5028807191.

It can be divided in two parts, 12 and 5377540, that multiplied together give a triangular number (64530480 = T₁₁₃₆₀).

The spelling of 125377540 in words is "one hundred twenty-five million, three hundred seventy-seven thousand, five hundred forty".