125552550155040 has 288 divisors, whose sum is σ = 448243600896000. Its totient is φ = 31941378889728.

The previous prime is 125552550155023. The next prime is 125552550155057. The reversal of 125552550155040 is 40551055255521.

125552550155040 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 2 + 5 + 50 + 1 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (125552550155023) and next prime (125552550155057).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 7736086 + ... + 17633834.

It is an arithmetic number, because the mean of its divisors is an integer number (1556401392000).

Almost surely, 2^{125552550155040} is an apocalyptic number.

125552550155040 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 125552550155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224121800448000).

125552550155040 is an abundant number, since it is smaller than the sum of its proper divisors (322691050740960).

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

125552550155040 is a wasteful number, since it uses less digits than its factorization.

125552550155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898176 (or 9898165 counting only the distinct ones).

The product of its (nonzero) digits is 1250000, while the sum is 45.

The spelling of 125552550155040 in words is "one hundred twenty-five trillion, five hundred fifty-two billion, five hundred fifty million, one hundred fifty-five thousand, forty".