156153715197696 has 1728 divisors, whose sum is σ = 516353056128000. Its totient is φ = 46875967488000.

The previous prime is 156153715197647. The next prime is 156153715197757. The reversal of 156153715197696 is 696791517351651.

156153715197696 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 5 + 37 + 1 + 519 + 76 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 447431848530 + ... + 447431848878.

It is an arithmetic number, because the mean of its divisors is an integer number (298815426000).

Almost surely, 2^{156153715197696} is an apocalyptic number.

156153715197696 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 156153715197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258176528064000).

156153715197696 is an abundant number, since it is smaller than the sum of its proper divisors (360199340930304).

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

156153715197696 is a wasteful number, since it uses less digits than its factorization.

156153715197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 602 counting only the distinct ones).

The product of its digits is 321489000, while the sum is 72.

The spelling of 156153715197696 in words is "one hundred fifty-six trillion, one hundred fifty-three billion, seven hundred fifteen million, one hundred ninety-seven thousand, six hundred ninety-six".