146740757970000 has 200 divisors, whose sum is σ = 473968202625280. Its totient is φ = 39108608640000.

The previous prime is 146740757969983. The next prime is 146740757970031. The reversal of 146740757970000 is 79757047641.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×146740757970000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51379620 + ... + 54160380.

Almost surely, 2^{146740757970000} is an apocalyptic number.

146740757970000 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 146740757970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236984101312640).

146740757970000 is an abundant number, since it is smaller than the sum of its proper divisors (327227444655280).

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

146740757970000 is a wasteful number, since it uses less digits than its factorization.

146740757970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782551 (or 2782530 counting only the distinct ones).

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 146740757970000 in words is "one hundred forty-six trillion, seven hundred forty billion, seven hundred fifty-seven million, nine hundred seventy thousand".