146054577750 has 384 divisors, whose sum is σ = 408893277312. Its totient is φ = 34589900800.

The previous prime is 146054577749. The next prime is 146054577761. The reversal of 146054577750 is 57775450641.

It is a happy number.

It is a hoax number, since the sum of its digits (51) 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 (51).

It is a junction number, because it is equal to n+sod(n) for n = 146054577693 and 146054577702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 568305622 + ... + 568305878.

It is an arithmetic number, because the mean of its divisors is an integer number (1064826243).

Almost surely, 2^146054577750 is an apocalyptic number.

146054577750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146054577750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204446638656).

146054577750 is an abundant number, since it is smaller than the sum of its proper divisors (262838699562).

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

146054577750 is a wasteful number, since it uses less digits than its factorization.

146054577750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 51.

The spelling of 146054577750 in words is "one hundred forty-six billion, fifty-four million, five hundred seventy-seven thousand, seven hundred fifty".