146732129376 has 192 divisors, whose sum is σ = 481126625280. Its totient is φ = 38184468480.

The previous prime is 146732129363. The next prime is 146732129381. The reversal of 146732129376 is 673921237641.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 146980 + ... + 561308.

It is an arithmetic number, because the mean of its divisors is an integer number (2505867840).

Almost surely, 2^146732129376 is an apocalyptic number.

146732129376 is a gapful number since it is divisible by the number (16) 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 146732129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240563312640).

146732129376 is an abundant number, since it is smaller than the sum of its proper divisors (334394495904).

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

146732129376 is a wasteful number, since it uses less digits than its factorization.

146732129376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414397 (or 414389 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The spelling of 146732129376 in words is "one hundred forty-six billion, seven hundred thirty-two million, one hundred twenty-nine thousand, three hundred seventy-six".