161525145600 has 1680 divisors, whose sum is σ = 743331048768. Its totient is φ = 33761525760.

The previous prime is 161525145599. The next prime is 161525145619. The reversal of 161525145600 is 6541525161.

161525145600 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 2 + 5 + 1 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×161525145600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1509580747 + ... + 1509580853.

Almost surely, 2^161525145600 is an apocalyptic number.

161525145600 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 161525145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371665524384).

161525145600 is an abundant number, since it is smaller than the sum of its proper divisors (581805903168).

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

161525145600 is a wasteful number, since it uses less digits than its factorization.

161525145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 161525145600 in words is "one hundred sixty-one billion, five hundred twenty-five million, one hundred forty-five thousand, six hundred".