146026734672 has 320 divisors, whose sum is σ = 488008765440. Its totient is φ = 36569567232.

The previous prime is 146026734671. The next prime is 146026734697. The reversal of 146026734672 is 276437620641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146026734671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13959268 + ... + 13969724.

It is an arithmetic number, because the mean of its divisors is an integer number (1525027392).

Almost surely, 2^146026734672 is an apocalyptic number.

146026734672 is a gapful number since it is divisible by the number (12) 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 146026734672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244004382720).

146026734672 is an abundant number, since it is smaller than the sum of its proper divisors (341982030768).

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

146026734672 is a wasteful number, since it uses less digits than its factorization.

146026734672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10650 (or 10644 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 146026734672 in words is "one hundred forty-six billion, twenty-six million, seven hundred thirty-four thousand, six hundred seventy-two".