156103357213440 has 2304 divisors, whose sum is σ = 724459321958400. Its totient is φ = 30995607453696.

The previous prime is 156103357213417. The next prime is 156103357213483. The reversal of 156103357213440 is 44312753301651.

156103357213440 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 0 + 3 + 3 + 572 + 1 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 15451183429 + ... + 15451193531.

It is an arithmetic number, because the mean of its divisors is an integer number (314435469600).

Almost surely, 2^{156103357213440} is an apocalyptic number.

156103357213440 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 156103357213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362229660979200).

156103357213440 is an abundant number, since it is smaller than the sum of its proper divisors (568355964744960).

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

156103357213440 is a wasteful number, since it uses less digits than its factorization.

156103357213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 156103357213440 in words is "one hundred fifty-six trillion, one hundred three billion, three hundred fifty-seven million, two hundred thirteen thousand, four hundred forty".