150365638342656 has 1152 divisors, whose sum is σ = 507211223500800. Its totient is φ = 42411035197440.

The previous prime is 150365638342627. The next prime is 150365638342681. The reversal of 150365638342656 is 656243836563051.

It is a happy number.

150365638342656 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 6 + 563 + 8 + 3 + 4 + 2 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 150365638342593 and 150365638342602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137571489246 + ... + 137571490338.

It is an arithmetic number, because the mean of its divisors is an integer number (440287520400).

Almost surely, 2^{150365638342656} is an apocalyptic number.

150365638342656 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 150365638342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253605611750400).

150365638342656 is an abundant number, since it is smaller than the sum of its proper divisors (356845585158144).

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

150365638342656 is a wasteful number, since it uses less digits than its factorization.

150365638342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 63.

The spelling of 150365638342656 in words is "one hundred fifty trillion, three hundred sixty-five billion, six hundred thirty-eight million, three hundred forty-two thousand, six hundred fifty-six".