150610430948736 has 256 divisors, whose sum is σ = 445308707704320. Its totient is φ = 44716641484800.

The previous prime is 150610430948729. The next prime is 150610430948743. The reversal of 150610430948736 is 637849034016051.

It is an interprime number because it is at equal distance from previous prime (150610430948729) and next prime (150610430948743).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 65082445 + ... + 67356851.

It is an arithmetic number, because the mean of its divisors is an integer number (1739487139470).

Almost surely, 2^{150610430948736} is an apocalyptic number.

150610430948736 is a gapful number since it is divisible by the number (16) 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 150610430948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222654353852160).

150610430948736 is an abundant number, since it is smaller than the sum of its proper divisors (294698276755584).

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

150610430948736 is a wasteful number, since it uses less digits than its factorization.

150610430948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274753 (or 2274741 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 150610430948736 in words is "one hundred fifty trillion, six hundred ten billion, four hundred thirty million, nine hundred forty-eight thousand, seven hundred thirty-six".