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135454402926144 = 2632192255232
BaseRepresentation
bin11110110011000111101111…
…100100011101011001000000
3122202121022111020101210000100
4132303013233210131121000
5120223241104122114034
61200030521010122400
740350154243464021
oct3663075744353100
9582538436353010
10135454402926144
113a183987187775
1213237b79580400
135a773abc73333
1425640570b4c48
15109d72e86e099
hex7b31ef91d640

135454402926144 has 189 divisors, whose sum is σ = 409781649257643. Its totient is φ = 42773398665984.

The previous prime is 135454402926121. The next prime is 135454402926181. The reversal of 135454402926144 is 441629204454531.

The square root of 135454402926144 is 11638488.

It is a perfect power (a square), and thus also a powerful number.

135454402926144 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 4 + 402 + 92 + 6 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5307137767 + ... + 5307163289.

Almost surely, 2135454402926144 is an apocalyptic number.

135454402926144 is the 11638488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135454402926144

135454402926144 is an abundant number, since it is smaller than the sum of its proper divisors (274327246331499).

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

135454402926144 is an frugal number, since it uses more digits than its factorization.

135454402926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51102 (or 25547 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 135454402926144 in words is "one hundred thirty-five trillion, four hundred fifty-four billion, four hundred two million, nine hundred twenty-six thousand, one hundred forty-four".