146537664 has 112 divisors (see below), whose sum is σ = 477243648. Its totient is φ = 38642688.

The previous prime is 146537639. The next prime is 146537689. The reversal of 146537664 is 466735641.

It is an interprime number because it is at equal distance from previous prime (146537639) and next prime (146537689).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13279 + ... + 21665.

It is an arithmetic number, because the mean of its divisors is an integer number (4261104).

Almost surely, 2^146537664 is an apocalyptic number.

146537664 is a gapful number since it is divisible by the number (14) 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 146537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238621824).

146537664 is an abundant number, since it is smaller than the sum of its proper divisors (330705984).

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

146537664 is a wasteful number, since it uses less digits than its factorization.

146537664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8422 (or 8412 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 146537664 is about 12105.2742224206. The cubic root of 146537664 is about 527.2093308133.

The spelling of 146537664 in words is "one hundred forty-six million, five hundred thirty-seven thousand, six hundred sixty-four".