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145621514734140 = 22352427025245569

145621514734140 has 24 divisors (see below), whose sum is σ = 407740241255760. Its totient is φ = 38832403929088.

The previous prime is 145621514734057. The next prime is 145621514734141. The reversal of 145621514734140 is 41437415126541.

145621514734140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1456215147341402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145621514734140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145621514734141) 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 7 ways as a sum of consecutive naturals, for example, 1213512622725 + ... + 1213512622844.

It is an arithmetic number, because the mean of its divisors is an integer number (16989176718990).

Almost surely, 2145621514734140 is an apocalyptic number.

145621514734140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145621514734140 is an abundant number, since it is smaller than the sum of its proper divisors (262118726521620).

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

145621514734140 is a wasteful number, since it uses less digits than its factorization.

145621514734140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427025245581 (or 2427025245579 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 145621514734140 in words is "one hundred forty-five trillion, six hundred twenty-one billion, five hundred fourteen million, seven hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2427025245569 4854050491138 7281075736707 9708100982276 12135126227845 14562151473414 24270252455690 29124302946828 36405378683535 48540504911380 72810757367070 145621514734140