150264354900480 has 640 divisors, whose sum is σ = 530561821870080. Its totient is φ = 36110260961280.

The previous prime is 150264354900467. The next prime is 150264354900481. The reversal of 150264354900480 is 84009453462051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (150264354900481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607341279 + ... + 607588641.

It is an arithmetic number, because the mean of its divisors is an integer number (829002846672).

Almost surely, 2^{150264354900480} is an apocalyptic number.

150264354900480 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 150264354900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265280910935040).

150264354900480 is an abundant number, since it is smaller than the sum of its proper divisors (380297466969600).

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

150264354900480 is a wasteful number, since it uses less digits than its factorization.

150264354900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247612 (or 247596 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 150264354900480 in words is "one hundred fifty trillion, two hundred sixty-four billion, three hundred fifty-four million, nine hundred thousand, four hundred eighty".