146105142521610 has 128 divisors (see below), whose sum is σ = 371775027343104. Its totient is φ = 36620554403840.

The previous prime is 146105142521567. The next prime is 146105142521683. The reversal of 146105142521610 is 16125241501641.

It is a happy number.

It is a super-5 number, since 5×146105142521610⁵ (a number of 72 digits) contains 55555 as substring.

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, 1655707090 + ... + 1655795330.

It is an arithmetic number, because the mean of its divisors is an integer number (2904492401118).

Almost surely, 2^{146105142521610} is an apocalyptic number.

146105142521610 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 146105142521610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185887513671552).

146105142521610 is an abundant number, since it is smaller than the sum of its proper divisors (225669884821494).

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

146105142521610 is a wasteful number, since it uses less digits than its factorization.

146105142521610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92568.

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 146105142521610 in words is "one hundred forty-six trillion, one hundred five billion, one hundred forty-two million, five hundred twenty-one thousand, six hundred ten".