87194240144 has 160 divisors (see below), whose sum is σ = 201617095680. Its totient is φ = 36126720000.

The previous prime is 87194240131. The next prime is 87194240191. The reversal of 87194240144 is 44104249178.

It is a super-2 number, since 2×87194240144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 87194240095 and 87194240104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6480464 + ... + 6493904.

It is an arithmetic number, because the mean of its divisors is an integer number (1260106848).

Almost surely, 2^87194240144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87194240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100808547840).

87194240144 is an abundant number, since it is smaller than the sum of its proper divisors (114422855536).

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

87194240144 is a wasteful number, since it uses less digits than its factorization.

87194240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13561 (or 13555 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 87194240144 in words is "eighty-seven billion, one hundred ninety-four million, two hundred forty thousand, one hundred forty-four".