150336468224400 has 480 divisors, whose sum is σ = 485737847930880. Its totient is φ = 39745331619840.

The previous prime is 150336468224389. The next prime is 150336468224429. The reversal of 150336468224400 is 4422864633051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150336468224400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103466254074 + ... + 103466255526.

It is an arithmetic number, because the mean of its divisors is an integer number (1011953849856).

Almost surely, 2^{150336468224400} is an apocalyptic number.

150336468224400 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 150336468224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242868923965440).

150336468224400 is an abundant number, since it is smaller than the sum of its proper divisors (335401379706480).

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

150336468224400 is a wasteful number, since it uses less digits than its factorization.

150336468224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 150336468224400 in words is "one hundred fifty trillion, three hundred thirty-six billion, four hundred sixty-eight million, two hundred twenty-four thousand, four hundred".