146134143540 has 432 divisors, whose sum is σ = 570942800064. Its totient is φ = 29910988800.

The previous prime is 146134143481. The next prime is 146134143557. The reversal of 146134143540 is 45341431641.

146134143540 is a `hidden beast` number, since 1 + 4 + 613 + 4 + 1 + 4 + 35 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 146134143495 and 146134143504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6489100 + ... + 6511580.

It is an arithmetic number, because the mean of its divisors is an integer number (1321626852).

Almost surely, 2^146134143540 is an apocalyptic number.

146134143540 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 146134143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285471400032).

146134143540 is an abundant number, since it is smaller than the sum of its proper divisors (424808656524).

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

146134143540 is a wasteful number, since it uses less digits than its factorization.

146134143540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22588 (or 22576 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 146134143540 in words is "one hundred forty-six billion, one hundred thirty-four million, one hundred forty-three thousand, five hundred forty".