150212401827840 has 2080 divisors, whose sum is σ = 597425853024000. Its totient is φ = 35801231523840.

The previous prime is 150212401827823. The next prime is 150212401827899. The reversal of 150212401827840 is 48728104212051.

150212401827840 is a `hidden beast` number, since 1 + 5 + 0 + 212 + 401 + 8 + 27 + 8 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 430408027986 + ... + 430408028334.

It is an arithmetic number, because the mean of its divisors is an integer number (287223967800).

Almost surely, 2^{150212401827840} is an apocalyptic number.

150212401827840 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 150212401827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298712926512000).

150212401827840 is an abundant number, since it is smaller than the sum of its proper divisors (447213451196160).

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

150212401827840 is a wasteful number, since it uses less digits than its factorization.

150212401827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 150212401827840 in words is "one hundred fifty trillion, two hundred twelve billion, four hundred one million, eight hundred twenty-seven thousand, eight hundred forty".