100151396352000 has 3780 divisors, whose sum is σ = 448074670971564. Its totient is φ = 22273051852800.

The previous prime is 100151396351947. The next prime is 100151396352011. The reversal of 100151396352000 is 253693151001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100151396352000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 13 + 9 + 635 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2249712009216 + 97901684342784 = 1499904^2 + 9894528^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2706794495982 + ... + 2706794496018.

Almost surely, 2^{100151396352000} is an apocalyptic number.

100151396352000 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 100151396352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224037335485782).

100151396352000 is an abundant number, since it is smaller than the sum of its proper divisors (347923274619564).

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

100151396352000 is an frugal number, since it uses more digits than its factorization.

100151396352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 100151396352000 in words is "one hundred trillion, one hundred fifty-one billion, three hundred ninety-six million, three hundred fifty-two thousand".