1951201115136 has 1320 divisors, whose sum is σ = 7437624495840. Its totient is φ = 496151101440.

The previous prime is 1951201115107. The next prime is 1951201115177. The reversal of 1951201115136 is 6315111021591.

1951201115136 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 20 + 111 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1951201115136.

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, 7253535610 + ... + 7253535878.

It is an arithmetic number, because the mean of its divisors is an integer number (5634564012).

Almost surely, 2^{1951201115136} is an apocalyptic number.

1951201115136 is a gapful number since it is divisible by the number (16) 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 1951201115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718812247920).

1951201115136 is an abundant number, since it is smaller than the sum of its proper divisors (5486423380704).

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

1951201115136 is a wasteful number, since it uses less digits than its factorization.

1951201115136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 1951201115136 in words is "one trillion, nine hundred fifty-one billion, two hundred one million, one hundred fifteen thousand, one hundred thirty-six".