150146546543400 has 192 divisors, whose sum is σ = 507797741721600. Its totient is φ = 36397053792000.

The previous prime is 150146546543393. The next prime is 150146546543443. The reversal of 150146546543400 is 4345645641051.

It is a self number, because there is not a number n which added to its sum of digits gives 150146546543400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114790281 + ... + 116090919.

It is an arithmetic number, because the mean of its divisors is an integer number (2644779904800).

Almost surely, 2^{150146546543400} is an apocalyptic number.

150146546543400 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 150146546543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253898870860800).

150146546543400 is an abundant number, since it is smaller than the sum of its proper divisors (357651195178200).

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

150146546543400 is a wasteful number, since it uses less digits than its factorization.

150146546543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318160 (or 1318151 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 150146546543400 in words is "one hundred fifty trillion, one hundred forty-six billion, five hundred forty-six million, five hundred forty-three thousand, four hundred".