136198050510672 has 600 divisors, whose sum is σ = 427947895415040. Its totient is φ = 41769618831360.

The previous prime is 136198050510637. The next prime is 136198050510703. The reversal of 136198050510672 is 276015050891631.

136198050510672 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 9 + 8 + 0 + 50 + 510 + 6 + 72 = 666.

It is a super-2 number, since 2×136198050510672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1921521729 + ... + 1921592607.

Almost surely, 2^{136198050510672} is an apocalyptic number.

136198050510672 is a gapful number since it is divisible by the number (12) 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 136198050510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213973947707520).

136198050510672 is an abundant number, since it is smaller than the sum of its proper divisors (291749844904368).

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

136198050510672 is a wasteful number, since it uses less digits than its factorization.

136198050510672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71041 (or 70997 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 136198050510672 in words is "one hundred thirty-six trillion, one hundred ninety-eight billion, fifty million, five hundred ten thousand, six hundred seventy-two".