61010152667136 has 192 divisors, whose sum is σ = 180800057037600. Its totient is φ = 20328461697024.

The previous prime is 61010152667083. The next prime is 61010152667147. The reversal of 61010152667136 is 63176625101016.

61010152667136 is a `hidden beast` number, since 6 + 1 + 0 + 101 + 526 + 6 + 7 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 61010152667091 and 61010152667100.

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, 136745476 + ... + 137190908.

Almost surely, 2^{61010152667136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61010152667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90400028518800).

61010152667136 is an abundant number, since it is smaller than the sum of its proper divisors (119789904370464).

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

61010152667136 is a wasteful number, since it uses less digits than its factorization.

61010152667136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447941 (or 447915 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 61010152667136 in words is "sixty-one trillion, ten billion, one hundred fifty-two million, six hundred sixty-seven thousand, one hundred thirty-six".