150142169100 has 864 divisors, whose sum is σ = 588800814336. Its totient is φ = 29107814400.

The previous prime is 150142169053. The next prime is 150142169119. The reversal of 150142169100 is 1961241051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 530537559 + ... + 530537841.

It is an arithmetic number, because the mean of its divisors is an integer number (681482424).

Almost surely, 2^150142169100 is an apocalyptic number.

150142169100 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 150142169100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294400407168).

150142169100 is an abundant number, since it is smaller than the sum of its proper divisors (438658645236).

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

150142169100 is a wasteful number, since it uses less digits than its factorization.

150142169100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 150142169100 in words is "one hundred fifty billion, one hundred forty-two million, one hundred sixty-nine thousand, one hundred".