125449230090240 has 912 divisors, whose sum is σ = 515434149764352. Its totient is φ = 28673600126976.

The previous prime is 125449230090203. The next prime is 125449230090287. The reversal of 125449230090240 is 42090032944521.

125449230090240 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 492 + 30 + 0 + 90 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229506587 + ... + 2229562853.

Almost surely, 2^{125449230090240} is an apocalyptic number.

125449230090240 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 125449230090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257717074882176).

125449230090240 is an abundant number, since it is smaller than the sum of its proper divisors (389984919674112).

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

125449230090240 is an frugal number, since it uses more digits than its factorization.

125449230090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56330 (or 56284 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 125449230090240 in words is "one hundred twenty-five trillion, four hundred forty-nine billion, two hundred thirty million, ninety thousand, two hundred forty".