145734373640000 has 280 divisors, whose sum is σ = 371992899018048. Its totient is φ = 56597022720000.

The previous prime is 145734373639991. The next prime is 145734373640003. The reversal of 145734373640000 is 46373437541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145734373640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286986320 + ... + 287493680.

Almost surely, 2^{145734373640000} is an apocalyptic number.

145734373640000 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 145734373640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185996449509024).

145734373640000 is an abundant number, since it is smaller than the sum of its proper divisors (226258525378048).

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

145734373640000 is an equidigital number, since it uses as much as digits as its factorization.

145734373640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507603 (or 507578 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 47.

The spelling of 145734373640000 in words is "one hundred forty-five trillion, seven hundred thirty-four billion, three hundred seventy-three million, six hundred forty thousand".