135511501001250 has 160 divisors (see below), whose sum is σ = 369577361387520. Its totient is φ = 32840709160000.

The previous prime is 135511501001231. The next prime is 135511501001269. The reversal of 135511501001250 is 52100105115531.

It is an interprime number because it is at equal distance from previous prime (135511501001231) and next prime (135511501001269).

It is a super-2 number, since 2×135511501001250² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128132119 + ... + 129185381.

It is an arithmetic number, because the mean of its divisors is an integer number (2309858508672).

Almost surely, 2^{135511501001250} is an apocalyptic number.

135511501001250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135511501001250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184788680693760).

135511501001250 is an abundant number, since it is smaller than the sum of its proper divisors (234065860386270).

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

135511501001250 is a wasteful number, since it uses less digits than its factorization.

135511501001250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056418 (or 1056403 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

Adding to 135511501001250 its reverse (52100105115531), we get a palindrome (187611606116781).

The spelling of 135511501001250 in words is "one hundred thirty-five trillion, five hundred eleven billion, five hundred one million, one thousand, two hundred fifty".