150201000031400 has 192 divisors, whose sum is σ = 362760449702400. Its totient is φ = 57775026816000.

The previous prime is 150201000031363. The next prime is 150201000031417. The reversal of 150201000031400 is 4130000102051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7620924746 + ... + 7620944454.

It is an arithmetic number, because the mean of its divisors is an integer number (1889377342200).

Almost surely, 2^{150201000031400} is an apocalyptic number.

150201000031400 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 150201000031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181380224851200).

150201000031400 is an abundant number, since it is smaller than the sum of its proper divisors (212559449671000).

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

150201000031400 is a wasteful number, since it uses less digits than its factorization.

150201000031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27460 (or 27451 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 150201000031400 its reverse (4130000102051), we get a palindrome (154331000133451).

The spelling of 150201000031400 in words is "one hundred fifty trillion, two hundred one billion, thirty-one thousand, four hundred".