145346656 has 192 divisors, whose sum is σ = 386104320. Its totient is φ = 52254720.

The previous prime is 145346653. The next prime is 145346659. The reversal of 145346656 is 656643541.

It is an interprime number because it is at equal distance from previous prime (145346653) and next prime (145346659).

It is a super-2 number, since 2×145346656² = 42251300820764672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145346653) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047101 + ... + 2047171.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^145346656 is an apocalyptic number.

145346656 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 145346656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

145346656 is an abundant number, since it is smaller than the sum of its proper divisors (240757664).

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

145346656 is a wasteful number, since it uses less digits than its factorization.

145346656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 145346656 is about 12055.9800928834. The cubic root of 145346656 is about 525.7771179065. Note that the first 3 decimals are identical.

The spelling of 145346656 in words is "one hundred forty-five million, three hundred forty-six thousand, six hundred fifty-six".