150354022251000 has 512 divisors, whose sum is σ = 484246867104000. Its totient is φ = 38811598848000.

The previous prime is 150354022250989. The next prime is 150354022251001. The reversal of 150354022251000 is 152220453051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150354022251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37692157006 + ... + 37692160994.

Almost surely, 2^{150354022251000} is an apocalyptic number.

150354022251000 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 150354022251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242123433552000).

150354022251000 is an abundant number, since it is smaller than the sum of its proper divisors (333892844853000).

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

150354022251000 is a wasteful number, since it uses less digits than its factorization.

150354022251000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 150354022251000 in words is "one hundred fifty trillion, three hundred fifty-four billion, twenty-two million, two hundred fifty-one thousand".