145736615200 has 144 divisors (see below), whose sum is σ = 390078158400. Its totient is φ = 52728192000.

The previous prime is 145736615183. The next prime is 145736615201. The reversal of 145736615200 is 2516637541.

It is a super-2 number, since 2×145736615200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (145736615201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1709590 + ... + 1792810.

It is an arithmetic number, because the mean of its divisors is an integer number (2708876100).

Almost surely, 2^145736615200 is an apocalyptic number.

145736615200 is a gapful number since it is divisible by the number (10) 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 145736615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195039079200).

145736615200 is an abundant number, since it is smaller than the sum of its proper divisors (244341543200).

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

145736615200 is a wasteful number, since it uses less digits than its factorization.

145736615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83451 (or 83438 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 145736615200 in words is "one hundred forty-five billion, seven hundred thirty-six million, six hundred fifteen thousand, two hundred".