151683506100 has 216 divisors, whose sum is σ = 543910465280. Its totient is φ = 34635651840.

The previous prime is 151683506053. The next prime is 151683506123. The reversal of 151683506100 is 1605386151.

151683506100 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 8 + 35 + 0 + 610 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 6534114 + ... + 6557286.

Almost surely, 2^151683506100 is an apocalyptic number.

151683506100 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 151683506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271955232640).

151683506100 is an abundant number, since it is smaller than the sum of its proper divisors (392226959180).

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

151683506100 is a wasteful number, since it uses less digits than its factorization.

151683506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24239 (or 24229 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 151683506100 in words is "one hundred fifty-one billion, six hundred eighty-three million, five hundred six thousand, one hundred".