152132103106140 has 192 divisors, whose sum is σ = 452753263872000. Its totient is φ = 38061101352960.

The previous prime is 152132103106133. The next prime is 152132103106211. The reversal of 152132103106140 is 41601301231251.

It is a super-2 number, since 2×152132103106140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152132103106098 and 152132103106107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47772816 + ... + 50857704.

It is an arithmetic number, because the mean of its divisors is an integer number (2358089916000).

Almost surely, 2^{152132103106140} is an apocalyptic number.

152132103106140 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 152132103106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226376631936000).

152132103106140 is an abundant number, since it is smaller than the sum of its proper divisors (300621160765860).

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

152132103106140 is a wasteful number, since it uses less digits than its factorization.

152132103106140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085340 (or 3085338 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 152132103106140 its reverse (41601301231251), we get a palindrome (193733404337391).

The spelling of 152132103106140 in words is "one hundred fifty-two trillion, one hundred thirty-two billion, one hundred three million, one hundred six thousand, one hundred forty".