145620605088 has 240 divisors, whose sum is σ = 510728803200. Its totient is φ = 39796821504.

The previous prime is 145620605083. The next prime is 145620605093. The reversal of 145620605088 is 880506026541.

145620605088 is a `hidden beast` number, since 1 + 4 + 562 + 0 + 6 + 0 + 5 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (145620605083) and next prime (145620605093).

It is not an unprimeable number, because it can be changed into a prime (145620605083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 242838 + ... + 591786.

It is an arithmetic number, because the mean of its divisors is an integer number (2128036680).

Almost surely, 2^145620605088 is an apocalyptic number.

145620605088 is a gapful number since it is divisible by the number (18) 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 145620605088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255364401600).

145620605088 is an abundant number, since it is smaller than the sum of its proper divisors (365108198112).

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

145620605088 is a wasteful number, since it uses less digits than its factorization.

145620605088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349001 (or 348984 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 145620605088 in words is "one hundred forty-five billion, six hundred twenty million, six hundred five thousand, eighty-eight".