150220190400 has 672 divisors, whose sum is σ = 580649169408. Its totient is φ = 33288192000.

The previous prime is 150220190389. The next prime is 150220190431. The reversal of 150220190400 is 4091022051.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×150220190400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 249950100 + ... + 249950700.

It is an arithmetic number, because the mean of its divisors is an integer number (864061264).

Almost surely, 2^150220190400 is an apocalyptic number.

150220190400 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 150220190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290324584704).

150220190400 is an abundant number, since it is smaller than the sum of its proper divisors (430428979008).

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

150220190400 is a wasteful number, since it uses less digits than its factorization.

150220190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 150220190400 in words is "one hundred fifty billion, two hundred twenty million, one hundred ninety thousand, four hundred".