156126356305920 has 4608 divisors, whose sum is σ = 793322449920000. Its totient is φ = 28361592668160.

The previous prime is 156126356305889. The next prime is 156126356305961. The reversal of 156126356305920 is 29503653621651.

156126356305920 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 2 + 6 + 3 + 563 + 0 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47325356431 + ... + 47325359729.

It is an arithmetic number, because the mean of its divisors is an integer number (172161990000).

Almost surely, 2^{156126356305920} is an apocalyptic number.

156126356305920 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 156126356305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396661224960000).

156126356305920 is an abundant number, since it is smaller than the sum of its proper divisors (637196093614080).

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

156126356305920 is a wasteful number, since it uses less digits than its factorization.

156126356305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 156126356305920 in words is "one hundred fifty-six trillion, one hundred twenty-six billion, three hundred fifty-six million, three hundred five thousand, nine hundred twenty".