150456626100 has 216 divisors, whose sum is σ = 528376369248. Its totient is φ = 35488454400.

The previous prime is 150456626093. The next prime is 150456626101. The reversal of 150456626100 is 1626654051.

150456626100 is a `hidden beast` number, since 15 + 0 + 4 + 5 + 6 + 626 + 10 + 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 not an unprimeable number, because it can be changed into a prime (150456626101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160927 + ... + 571673.

Almost surely, 2^150456626100 is an apocalyptic number.

150456626100 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 150456626100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264188184624).

150456626100 is an abundant number, since it is smaller than the sum of its proper divisors (377919743148).

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

150456626100 is a wasteful number, since it uses less digits than its factorization.

150456626100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410815 (or 410805 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 150456626100 in words is "one hundred fifty billion, four hundred fifty-six million, six hundred twenty-six thousand, one hundred".