165107511400 has 192 divisors, whose sum is σ = 417352506480. Its totient is φ = 60383232000.

The previous prime is 165107511389. The next prime is 165107511403. The reversal of 165107511400 is 4115701561.

It can be written as a sum of positive squares in 24 ways, for example, as 1986841476 + 163120669924 = 44574^2 + 403882^2 .

It is a super-2 number, since 2×165107511400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165107511403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235531050 + ... + 235531750.

Almost surely, 2^165107511400 is an apocalyptic number.

165107511400 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 165107511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208676253240).

165107511400 is an abundant number, since it is smaller than the sum of its proper divisors (252244995080).

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

165107511400 is a wasteful number, since it uses less digits than its factorization.

165107511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 165107511400 in words is "one hundred sixty-five billion, one hundred seven million, five hundred eleven thousand, four hundred".