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153354060540 = 223354111361297
BaseRepresentation
bin1000111011010010011…
…1010100001011111100
3112122211111201102222000
42032310213110023330
510003032114414130
6154241101422300
714036154002262
oct2166447241374
9478744642860
10153354060540
115a04540750a
1225879b6a990
13115cc40c175
1475cb000432
153ec82b0260
hex23b49d42fc

153354060540 has 192 divisors, whose sum is σ = 493071304320. Its totient is φ = 39543275520.

The previous prime is 153354060529. The next prime is 153354060577. The reversal of 153354060540 is 45060453351.

153354060540 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 5 + 4 + 0 + 605 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153354060495 and 153354060504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471172 + ... + 2532468.

It is an arithmetic number, because the mean of its divisors is an integer number (2568079710).

Almost surely, 2153354060540 is an apocalyptic number.

153354060540 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 153354060540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246535652160).

153354060540 is an abundant number, since it is smaller than the sum of its proper divisors (339717243780).

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

153354060540 is a wasteful number, since it uses less digits than its factorization.

153354060540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61469 (or 61461 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 153354060540 in words is "one hundred fifty-three billion, three hundred fifty-four million, sixty thousand, five hundred forty".